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Three questions on the future of quantum science and technology
Published 14 Jan 2026 in quant-ph | (2601.09769v1)
Abstract: The answers on the current status and future development of Quantum Science and Technology are presented.
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Overview
This paper is a collection of short answers from well-known scientists and philosophers about the future of quantum science and technology. The journal asked them three big questions: Is the “measurement problem” in quantum physics worth solving? Which research directions look most promising? And what might come after today’s quantum theory?
The Big Questions (in simple terms)
- Question 1: Is the quantum measurement problem worth solving?
- In quantum physics, tiny things (like electrons) can be in a mix of possibilities at once. But when we measure them, we only see one result. The “measurement problem” asks: what exactly counts as a measurement, and how does the mix of possibilities turn into one actual outcome?
- Question 2: Which areas of research are most promising, in theory and in technology?
- This asks where experts think the most exciting progress will happen—both in understanding how quantum physics works and in building new devices like quantum computers.
- Question 3: What could a future “post-quantum” theory look like?
- This asks whether there’s a deeper theory beyond quantum physics (especially one that would work together with gravity) and what it might involve.
How Did They Study It?
Instead of running experiments, the journal did a poll. That means they asked many experts to share their opinions in writing. The paper gathers these views side-by-side so readers can compare different answers. This approach helps show the variety of thinking in the field:
- It’s like asking several coaches how they’d train a team: you won’t get one “final answer,” but you’ll learn about many useful strategies and where people disagree.
Key terms explained simply:
- Quantum superposition: When something can be in multiple states at once (like a flipped coin being “heads and tails” until you look).
- Measurement: The moment you check the system and get a single, definite result (like seeing “heads”).
- Unitary evolution (Schrödinger equation): The smooth, math-based rule for how quantum states change over time—without any sudden jumps.
- Collapse: A proposed sudden jump from “many possibilities” to “one actual outcome” when measured (not part of the smooth Schrödinger rule).
- Interpretations: Different ways to make sense of what the math of quantum physics means in reality (e.g., Many-Worlds, pilot-wave, spontaneous collapse).
Main Findings and Why They Matter
1) Is the measurement problem worth solving?
Experts strongly disagree, and that’s important:
- Some say it’s solved or not a real problem.
- Example: David Deutsch says it was solved by Hugh Everett (Many-Worlds), where all outcomes happen in separate branches of reality.
- Vlatko Vedral argues there’s no measurement problem if we treat everything—including measuring devices—as quantum.
- Karol Życzkowski says the “interpretation” doesn’t change how we calculate results in practice, so experiments can proceed without settling the debate.
- Some say it’s a serious problem that needs a fix.
- Ruth Kastner says standard quantum theory doesn’t clearly define “measurement” and proposes a “direct-action” or “absorber” approach to handle real, non-smooth processes.
- Tim Maudlin says fundamental theories shouldn’t include vague ideas like “measurement”; he prefers approaches like pilot-wave or spontaneous collapse.
- Philip Pearle adds a random term to the Schrödinger equation (his CSL theory) so the wave naturally settles to one outcome without an ad-hoc “collapse postulate.”
Why this matters:
- Even if experiments work fine, understanding “what’s really going on” can guide future theories and inspire new technology. It also helps students and scientists communicate clearly.
2) Promising research directions (theory and technology)
- Theory directions:
- Observer-centered views: Focus on what an observer can learn and infer.
- Emergent spacetime: Space and time might not be basic ingredients; they could come from deeper processes.
- Foundational approaches: Pilot-wave theories, spontaneous collapse, and Many-Worlds are all being explored.
- Connecting quantum with gravity: Some ideas try to derive gravity from quantum processes.
- Technology directions:
- Quantum information and computing: Using quantum effects to process information in new ways.
- Quantum communication and cryptography: Extremely secure communication is already being used commercially.
- Real challenge: Achieving clear, practical “quantum advantage”—solving useful problems faster or better than classical computers.
Why this matters:
- These directions shape how quickly we’ll see quantum devices improve, and they influence which kinds of problems society can solve—from secure communication to new materials and medicines.
3) What might “post-quantum” theory be?
Again, views differ:
- Some expect a deeper theory that unifies quantum physics with general relativity (gravity) and reduces to both in the right limits.
- Some think we won’t need a new theory soon because quantum predictions match experiments extremely well.
- Others suggest that any new effects beyond quantum would show up only under extreme conditions (very high energy, temperature, or density).
- A few think we may see changes more in relativity (e.g., if faster-than-light signaling is ever shown) than in quantum rules.
- Ideas like “constructor theory” are proposed as complementary ways to think about physics.
Why this matters:
- A post-quantum theory could solve long-standing puzzles, like how gravity fits with quantum physics, and possibly explain dark matter or dark energy.
Implications and Potential Impact
- For science: Foundational debates (like the measurement problem) push us to sharpen our theories. Whether or not they change lab results now, they can lead to better, clearer models in the future.
- For technology: Quantum tools—secure communication, sensing, and computing—are growing fast. The biggest hurdle is proving strong, practical quantum advantages for real-world tasks.
- For students and society: Understanding isn’t just about making devices. It helps people grasp how the world works and keeps science creative and honest. Even if interpretations compete, they can inspire new lines of research.
- For the future: Most experts agree that quantum physics will remain central. Some expect it to expand into fields like chemistry, biology, and even neuroscience. A true “post-quantum” theory, if it arrives, will likely unify quantum with gravity and might only show new effects under extreme conditions.
In short, this paper shows a lively field: people disagree on deep questions, but they agree that quantum science will keep growing—both in understanding and in technology—shaping the next decades of discovery.
Knowledge Gaps
Knowledge gaps, limitations, and open questions left unresolved
The following list identifies concrete gaps, uncertainties, and open questions that the paper raises but does not resolve, structured to inform future research:
- No physically grounded, operational criterion distinguishing “measurement” interactions that yield definite outcomes from generic unitary entangling interactions; actionable need: formalize and experimentally validate a non-unitary mechanism (if any) that marks outcome selection.
- Persistent lack of consensus on the measurement problem’s status (solved vs unresolved vs ill-posed), with competing frameworks (Everett/many-worlds, pilot-wave, spontaneous collapse, direct-action/absorber) offering incompatible accounts; actionable need: articulate falsifiable predictions unique to each approach and design feasible experiments to discriminate them.
- Wigner’s Friend-type scenarios: claims of empirically detectable discrepancies remain untested; actionable need: develop and execute robust experimental protocols that can reveal or constrain predicted inconsistencies between unitary-only accounts and alternatives.
- Quantum field theory lacks a clear ontological footing beyond predictive formalism; actionable need: construct and evaluate ontologically explicit QFT frameworks (entities, dynamics, measurement) that avoid ill-defined “measurement” primitives.
- Direct-action/absorber theories (transactional interpretation) propose non-unitary processes and emergent spacetime/gravity claims (e.g., reproducing Einstein’s equations, MOND, cosmological constant) without independent experimental corroboration; actionable need: derive distinct, testable predictions (beyond standard GR/QFT) and design observations to confirm or refute them.
- Continuous Spontaneous Localization (CSL) remains neither confirmed nor ruled out; actionable need: tighten parameter bounds via targeted experiments (e.g., high-mass interferometry, precision optomechanics, X-ray emission) with quantified sensitivity to CSL noise and collapse rates.
- Many-worlds interpretations still face unresolved conceptual issues (e.g., preferred basis, derivation of the Born rule, operational meaning of “outcomes”); actionable need: produce rigorous derivations or identify measurable consequences that could test or constrain the framework.
- Pilot-wave theories require fully relativistic/QFT-compatible formulations (creation/annihilation, fermions, gauge fields) and experimentally distinguishable predictions; actionable need: advance consistent models and identify phenomena where pilot-wave differs from standard QM for empirical testing.
- Collapse theories’ compatibility with Lorentz invariance and signaling constraints is unsettled; actionable need: develop relativistically invariant collapse dynamics and test for potential superluminal signaling or violations of no-signaling.
- Observer-dependent perspectives are advocated but under-formalized across domains (including cosmology); actionable need: create precise, operational theories of observer inference and constraints, and test them in scenarios where observer-dependence could alter predictions.
- No empirically demonstrated regime where standard quantum theory fails, leaving “post-quantum” exploration largely speculative; actionable need: identify accessible experimental regimes (e.g., gravity-induced decoherence, mesoscopic superpositions, high-precision tests) where deviations might plausibly emerge.
- Suggested “post-relativistic” possibilities (e.g., superluminal signaling) lack concrete experimental programs; actionable need: design stringent laboratory tests for signaling beyond relativistic limits and quantify bounds.
- Claims of emergent spacetime and gravity from transactional or informational approaches lack consensus and cross-validation; actionable need: compare independent derivations, isolate observational signatures distinct from dark matter/energy, and test MOND-like corrections in astrophysical data.
- Quantum advantage in computing remains unproven for concrete, useful problems; actionable need: define realistic benchmark tasks, classical baselines (including best heuristics), end-to-end cost models, and noise-resilient protocols that can demonstrate unequivocal advantage.
- Path to large-scale, universal, fault-tolerant quantum computing is unclear (thresholds, resource overheads, scalability); actionable need: develop scalable error-correction architectures, resource-efficient fault-tolerance schemes, and standardized metrics for “useful” quantum advantage.
- Practical security of quantum cryptography, despite theoretical guarantees, is vulnerable to implementation loopholes and side-channels; actionable need: conduct systematic vulnerability analyses and advance device-independent or measurement-device-independent protocols with real-world validations.
- Quantum effects in macro-domain sciences (chemistry, biology, neuroscience) are posited but not rigorously established at functional scales; actionable need: design controlled experiments and analysis frameworks that isolate and verify genuine quantum coherence, entanglement, or tunneling in operational biological/chemical processes.
- Generalized probabilistic theories (GPTs) and “post-quantum” models currently predict deviations mainly in extreme conditions beyond near-term experiments; actionable need: propose near-term, high-sensitivity tests and quantify finite-precision signatures that could constrain or reveal GPT deviations.
- Measurement in cosmology (closed systems without external apparatus) is conceptually unresolved; actionable need: formulate cosmology-compatible measurement theories and identify observational contexts (e.g., cosmic microwave background data analysis) where measurement definitions matter.
- Foundational–engineering gap: operational formalisms suffice for technology despite foundational ambiguity; actionable need: develop methodologies to map foundational assumptions (e.g., collapse vs unitary-only) onto engineering design constraints and performance predictions.
- Constructor theory of thermodynamics is cited as promising but lacks concrete, testable differentiators from standard frameworks; actionable need: identify specific thermodynamic tasks where constructor-theoretic predictions differ and design experiments to probe these differences.
- The paper does not provide a roadmap for translating interpretational debates into empirical discriminators; actionable need: systematically catalog where interpretations diverge in empirical content and prioritize experiments with maximal discriminative power.
Practical Applications
Immediate Applications
Below are actionable, deployable-now applications that follow directly from the paper’s consensus points, with links to sectors, tools/products/workflows, and feasibility notes.
- Quantum-secure communication rollouts (as noted by Życzkowski)
- Sectors: finance, government, defense, healthcare, telecom
- Tools/products/workflows: commercial QKD appliances (fiber/satellite), quantum key servers, key lifecycle management integrated with existing HSMs, hybrid “QKD + classical post-quantum cryptography” deployments, quantum network pilot links between campuses and datacenters
- Assumptions/dependencies: trusted-device implementations and side-channel mitigations; availability of fiber/satellite links; alignment with evolving standards and certification; operational integration with existing SOC processes
- Quantum random number generators in security stacks (aligned with quantum information uses)
- Sectors: cybersecurity, fintech, gaming, cloud
- Tools/products/workflows: hardware QRNG modules embedded in TLS offloaders, VPN gateways, and cloud KMS; compliance reporting that attests to entropy sources in regulated environments
- Assumptions/dependencies: certified QRNG hardware; secure integration that prevents entropy dilution; standardized testing and audits
- Pragmatic engineering formalism for NISQ systems (echoing Maudlin’s call for usable predictive formalisms)
- Sectors: software, HPC, telecom, quantum startups
- Tools/products/workflows: error mitigation libraries, noise-aware circuit transpilers, device-agnostic benchmarking harnesses, hybrid quantum-classical pipelines for optimization, chemistry, and ML
- Assumptions/dependencies: access to NISQ hardware via cloud; acceptance of approximate/noise-aware methods; workforce trained in practical, not purely foundational, frameworks
- Observer-centric experimental design and data analysis (reflecting Buscemi’s emphasis on inference constraints)
- Sectors: academia, quantum labs, quantum networking
- Tools/products/workflows: Bayesian adaptive tomography, experiment-design software that optimizes information gain, semi/device-independent protocols for verification in quantum communication
- Assumptions/dependencies: robust statistical tooling; reproducible lab protocols; clear operational definitions of observer knowledge in experimental control
- Computational chemistry workflows for mechanism insight (expanding on Petković and Lombardi)
- Sectors: pharmaceuticals, materials, catalysis, energy
- Tools/products/workflows: integrating Reaction Force analysis, IQA (Interacting Quantum Atoms) + REG (Relative Energy Gradient) into DFT/ab initio pipelines; automated identification of driving forces behind bond making/breaking; catalyst design screens for transition-state regions rather than single structures
- Assumptions/dependencies: availability of software plugins and trained chemoinformatics teams; high-quality electronic structure calculations; validation against experiment
- Quantum-enhanced measurement and instrumentation already in wide use (noted by Życzkowski)
- Sectors: semiconductor manufacturing, medical imaging, materials science
- Tools/products/workflows: lasers, transistors, diodes, electron microscopes, integrated circuits used in metrology, lithography, and diagnostics
- Assumptions/dependencies: continuous improvement in device calibration and maintenance; leveraging quantum-limited performance in production QA workflows
- Education and science communication that foregrounds interpretation for deeper understanding (per Lombardi)
- Sectors: education, public outreach, workforce development
- Tools/products/workflows: course modules that connect quantum information to foundations; training on projectability/transferability of quantum concepts using analogies, visuals, and cross-disciplinary links (chemistry, field theory)
- Assumptions/dependencies: curricular flexibility; educator training; recognition that improved understanding supports technology adoption and talent pipelines
- Policy and standards for quantum communications procurement and compliance (building on Życzkowski’s note of commercial readiness)
- Sectors: public policy, standardization, compliance
- Tools/products/workflows: procurement guidelines for QKD/QRNG; certification schemes, testbeds, and interoperability standards; risk frameworks that balance QKD with classical post-quantum cryptography
- Assumptions/dependencies: multi-stakeholder coordination; clear evaluation criteria; recognition that “theoretically unbreakable” depends on implementation integrity
Long-Term Applications
Below are applications that require further research, scaling, validation, or development, but are plausibly guided by the paper’s future-looking perspectives.
- Fault-tolerant, large-scale universal quantum computers (Vedral)
- Sectors: drug discovery, materials design, logistics/optimization, climate modeling, finance (risk, derivatives), cryptanalysis (ethical/governmental)
- Tools/products/workflows: error-corrected qubits, logical circuit compilers, scalable cryogenics and control electronics, domain-specific quantum algorithms (chemistry, optimization, ML), hybrid HPC orchestration
- Assumptions/dependencies: breakthroughs in error correction thresholds, fabrication yields, and system integration; sustainable operational costs; robust software stacks
- Clear, useful quantum computational advantage (Życzkowski)
- Sectors: HPC, finance, supply chain, telecom
- Tools/products/workflows: standardized benchmarking suites, libraries of validated quantum protocols, use-case selection frameworks that quantify advantage vs classical alternatives
- Assumptions/dependencies: cross-disciplinary validation; stable hardware roadmaps; community consensus on metrics and problem instances
- Emergent-spacetime and transactional-gravity programs (Kastner; Schlatter & Kastner)
- Sectors: astrophysics, cosmology, fundamental physics
- Tools/products/workflows: simulation frameworks that replace dark matter/energy modeling with MOND-like corrections derived from transactional approaches; data-fitting workflows for galaxy rotation curves and cosmological observations
- Assumptions/dependencies: rigorous empirical validation; acceptance of non-unitary processes; reconciliation with existing observational datasets
- Experimental validation of collapse models like CSL (Pearle)
- Sectors: precision sensing, metrology, quantum foundations
- Tools/products/workflows: optomechanical/matter-wave interferometry platforms, collapse-parameter estimation pipelines, potential exploitation of collapse noise for novel sensing or certified randomness
- Assumptions/dependencies: definitive experiments that confirm/quantify collapse; reproducibility across platforms; integration into broader physical theory
- Generalized probabilistic (post-quantum) theories (Życzkowski)
- Sectors: cryptography, communications, computation (if beyond-quantum effects are accessible)
- Tools/products/workflows: protocol design that leverages nonstandard correlations/resources, new security proofs under GPT models
- Assumptions/dependencies: access to extreme regimes (high energy/temperature/density/acceleration); empirical deviations from standard quantum predictions; practical device realizations
- Quantum physics in macro domains (Vedral)
- Sectors: biology, neuroscience, energy, agriculture, medical diagnostics
- Tools/products/workflows: quantum-coherence-informed designs in photosynthetic mimetics and solar energy conversion, magnetometers and quantum sensors for brain and cardiac diagnostics, quantum-aware models of enzymatic catalysis
- Assumptions/dependencies: reproducible evidence of robust macroscopic quantum effects; translatable engineering designs; clinical validation and regulatory approval where applicable
- Potential post-relativistic signaling regimes (Maudlin)
- Sectors: communications, networking, policy/regulation
- Tools/products/workflows: if superluminal signaling is empirically confirmed, new networking paradigms, synchronization and causality management protocols, global regulatory frameworks
- Assumptions/dependencies: decisive laboratory evidence; reworked causal models and security analyses; profound standards and legal updates
- Constructor-theoretic thermodynamics influencing energy and computation (Deutsch; Marletto)
- Sectors: energy systems, reversible computing, resource management
- Tools/products/workflows: design frameworks that specify possible/impossible transformations, resource-theory tooling for optimizing energy flows and computation
- Assumptions/dependencies: maturation of constructor theory into operational design tools; empirical case studies demonstrating efficiency gains
- Interpretation convergence informing device and curriculum design (Vaidman, Lombardi, Maudlin)
- Sectors: education, R&D strategy, systems engineering
- Tools/products/workflows: streamlined curricula and conceptual frameworks that reduce ambiguity; design heuristics for devices that leverage agreed interpretational principles
- Assumptions/dependencies: community consensus (which is currently diverse); evidence that interpretational clarity improves engineering outcomes
- National and international roadmaps for quantum protocol/state/operation prioritization (Życzkowski)
- Sectors: research policy, funding, standards
- Tools/products/workflows: coordinated programs to identify high-value states/operations/protocols; open datasets and testbeds to evaluate utility; cross-disciplinary consortia (physics, math, information science)
- Assumptions/dependencies: sustained funding; shared infrastructure; iterative, evidence-based updates as hardware and theory evolve
Glossary
- absorber theory of radiation: A time-symmetric, direct-interaction account of radiation where emission and absorption occur without independent mediating fields. "the 'direct action theory' or 'absorber theory of radiation'"
- Atoms in Molecules (AIM): A quantum topological framework that partitions electron density to define atoms and bonds within molecules. "Bader's Atoms in Molecules theory (BADER, 1990)"
- Bell's Inequality: A family of constraints satisfied by local hidden-variable models but violated by quantum entanglement, evidencing nonlocal correlations. "violations of Bell's Inequality."
- collapse postulate: The standard rule in quantum mechanics that a measurement discontinuously projects a state to an eigenstate of the measured observable. "invoke an ill-defined "collapse postulate": the wave function somehow "jumps" to one or another outcome."
- constructor-theoretic formulation of thermodynamics: An approach recasting thermodynamics in terms of possible and impossible tasks, within Constructor Theory. "Marletto's constructor-theoretic formulation of thermodynamics (MARLETTO, 2016)"
- Continuous Spontaneous Localization (CSL) theory: A stochastic, dynamical-collapse modification of the Schrödinger equation that yields definite outcomes. "the Continuous Spontaneous Localization (CSL) theory."
- cosmological constant: A term in Einstein’s field equations representing vacuum energy density that can drive cosmic acceleration. "the cosmological constant (replacing the need for 'dark energy')"
- dark energy: A hypothesized component of the universe responsible for its accelerated expansion. "replacing the need for 'dark energy'"
- dark matter: Non-luminous matter inferred from gravitational effects that cannot be explained by visible matter alone. "replacing the need for 'dark matter'"
- deBroglie-Bohm Pilot Wave (theory): A deterministic hidden-variable theory where particles are guided by a wave function. "deBroglie-Bohm Pilot Wave alternative theory"
- direct action theory: A time-symmetric theory where charged particles interact directly without independent electromagnetic fields. "the 'direct action theory' or 'absorber theory of radiation'"
- Einstein's equations: The field equations of General Relativity relating spacetime curvature to energy-momentum. "yields Einstein's equations of the general theory of relativity"
- emergent manifold: The idea that spacetime arises from deeper non-spatiotemporal structures rather than being fundamental. "spacetime is not a fundamental background for physical systems but instead is an emergent manifold."
- entanglement: Non-classical correlations between quantum systems that cannot be described by separable states. "entanglement and non-locality"
- entangling interaction: A physical interaction that generates entanglement between systems. "correlating (entangling) interaction"
- entropic gravity: A program proposing gravity as an emergent entropic force arising from information-theoretic/statistical considerations. "Gravity from transactions: fulfilling the entropic gravity program."
- generalized probabilistic theories (GPT): A framework generalizing classical and quantum theories to study possible probabilistic models of physical systems. "generalized probabilistic theories (GPT) models"
- inflation field: A scalar field hypothesized to have driven rapid exponential expansion in the early universe. "the inflation field"
- Interacting Quantum Atoms (IQA): An energy-decomposition method based on AIM that partitions interaction energies between atomic regions. "the Interacting Quantum Atoms approach (BLANCO et al., 2005)"
- Many-Worlds theory: The Everett interpretation positing unitary evolution with branching worlds for different outcomes. "Many-Worlds theory."
- MOND (Modified Newtonian Dynamics): An empirical modification to Newtonian dynamics at low accelerations proposed to explain galactic rotation without dark matter. "MOND correction (replacing the need for 'dark matter')"
- non-locality: The feature of quantum correlations that violate local realism as captured by Bell’s inequalities. "entanglement and non-locality"
- non-unitary processes: State evolutions that are not norm-preserving (e.g., objective collapses), beyond standard unitary dynamics. "real physical non-unitary processes"
- observer-dependent perspective: A viewpoint emphasizing that physical descriptions and inferences depend on the information available to an observer. "observer- dependent perspective"
- ontological footing: A clear account of what entities a theory claims exist, beyond merely making predictions. "ontological (not just predictive) footing"
- pilot-wave theories: Deterministic hidden-variable models in which a guiding wave directs particle motion. "pilot-wave theories or spontaneous collapse theories."
- post-Relativistic regime: A prospective physical regime in which principles of Relativity may be superseded or violated. "post-Relativistic regime"
- post-quantum theory: A hypothetical framework that departs from and extends quantum mechanics in its foundational principles or predictions. "post-quantum theory"
- Q-numbers: Operator-valued quantities (as opposed to classical c-numbers) used to represent observables in quantum theory. "Q-numbers are here to stay"
- quantum computational advantage: A demonstrated performance where a quantum device solves a practical problem infeasible for classical computers. "quantum computational advantage"
- quantum cryptography: Cryptographic techniques (e.g., QKD) providing security guaranteed by quantum physics. "quantum cryptography"
- quantum field theory: The relativistic quantum framework describing particles as excitations of underlying fields. "quantum field theory"
- quantum gravity theory: A (yet unconfirmed) theory unifying quantum mechanics with General Relativity. "quantum gravity theory"
- quantum information processing: Manipulating information encoded in quantum states using quantum operations. "quantum information processing"
- quantum protocols: Algorithmic or communication procedures exploiting quantum resources (e.g., entanglement). "quantum protocols"
- reaction force: In reaction path analysis, a force along the reaction coordinate whose extrema help characterize mechanism stages. "the reaction force"
- Relative Energy Gradient (REG) method: A technique to automate IQA analysis by tracking changes in energy components along configurational change. "Relative Energy Gradient method"
- Schrodinger equation: The fundamental differential equation governing unitary time evolution of quantum states. "the Schrodinger equation."
- Schrodinger's cat: A thought experiment highlighting macroscopic superposition and the measurement problem. "Schrodinger's cat is alive as much as it was in 1935."
- spontaneous collapse theories: Modifications of quantum mechanics positing objective, random state reductions. "spontaneous collapse theories."
- superluminal signaling: Hypothetical faster-than-light communication, typically forbidden by relativity. "superluminal signaling"
- transactional formulation: A time-symmetric interpretation (offer/confirmation waves) aiming to explain quantum processes and measurement. "based on the transactional formulation"
- transition state region: A finite region along a reaction coordinate where key electronic reorganizations occur, rather than a single structure. "transition state region"
- two-slit interference: The interference pattern arising in the double-slit experiment, emblematic of wave-particle duality. "two-slit interference"
- unitary evolution: Norm-preserving, reversible time evolution dictated by the Schrödinger equation. "unbroken unitary evolution"
- wave function: The complex-valued state amplitude encoding a system’s quantum probabilities and phases. "the wave function (evolving under Schrodinger's equation) does not correspond to reality"
- Wigner's Friend: A thought experiment exploring observer-dependent outcomes and consistency in quantum measurements. "Wigner's Friend-type scenarios."
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