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Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

Published 3 Jun 2014 in quant-ph | (1406.0880v2)

Abstract: Exquisite quantum control has now been achieved in small ion traps, in nitrogen-vacancy centres and in superconducting qubit clusters. We can regard such a system as a universal cell with diverse technological uses from communication to large-scale computing, provided that the cell is able to network with others and overcome any noise in the interlinks. Here we show that loss-tolerant entanglement purification makes quantum computing feasible with the noisy and lossy links that are realistic today: With a modestly complex cell design, and using a surface code protocol with a network noise threshold of 13.3%, we find that interlinks which attempt entanglement at a rate of 2MHz but suffer 98% photon loss can result in kilohertz computer clock speeds (i.e. rate of high fidelity stabilizer measurements). Improved links would dramatically increase the clock speed. Our simulations employed local gates of a fidelity already achieved in ion trap devices.

Citations (189)

Summary

Freely Scalable Quantum Technologies Using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

The paper titled "Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links" introduces a paradigm for scalable quantum computing using small, well-controlled qubit systems, referred to as "universal cells," interconnected through lossy and noisy photonic links. The authors propose a scheme leveraging loss-tolerant entanglement purification to facilitate quantum computing with these imperfect links, achieving operational feasibility with current technological capacities.

Overview of the Proposed System

The quantum computing architecture presented consists of small quantum "cells" containing between 5 and 50 qubits. These cells could be realized using ion traps, nitrogen-vacancy centers, or superconducting qubits, which have recently achieved impressive fidelity levels. For instance, ion traps have reached single-qubit fidelities of 99.9999% and two-qubit fidelities up to 99.9%, while superconducting qubits exhibit fidelities above 99.3%. These cells are interconnected through photonic links capable of tolerating significant noise and loss.

Entanglement Purification and Network Robustness

A key innovation of the paper lies in the entanglement purification protocol, which enhances the fidelity of noisy entangled states generated over photonic links. By applying a surface code protocol with a network error threshold of 13.3%, the authors demonstrate that even with 98% photon loss, it is possible to achieve kilohertz-rate high-fidelity stabilizer measurements. This is achieved using local gate fidelities currently realized in ion trap devices.

Three purification protocols of varying complexity are introduced: Basic, Medium, and Refined. These protocols exhibit different thresholds for tolerable network noise, with the Basic protocol supporting up to 7.7% noise, Medium up to 13.3%, and Refined up to 19.4%. The choice of protocol balances the trade-off between purification speed and noise tolerance.

Network Architecture and Scalability

The proposed architecture can be scaled to form large networks of quantum cells. In configurations where links are short (centimeter-range), the protocol enables freely scalable quantum computing. For long-distance links, the paradigm supports secure communication.

The authors also discuss two main design strategies for these networks: minimal architectures with the least number of qubits per cell, and buffered architectures with additional qubits for temporary storage. These designs impact the synchronization and operational speed of the quantum computer, with buffered systems alleviating delays caused by the probabilistic nature of stabilizer measurements.

Implications and Future Development

This research provides a robust framework for developing scalable quantum technologies within the constraints of current photonic interconnects. By demonstrating that current high-fidelity operations in small systems suffice for full-scale quantum computing, the work presents pathways for integrating separate advancements across different experimental platforms into a cohesive quantum architecture.

Looking ahead, further advances in entanglement generation hardware, such as integrated cavities, could drastically increase computer clock speeds, potentially reaching megahertz rates. As qubit control and photonic technologies advance, the networked quantum computing paradigm proposed here could see practical implementation in both computing and secure communication domains.

In conclusion, the paper presents a feasibly implementable architecture for scalable quantum computing, aligning recent hardware advancements with optimized algorithms for entanglement purification. This synthesis indicates significant promise for quantum technologies to overcome existing limitations in interconnection and scale capabilities unrestrictedly in the foreseeable future.

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