Abstract

Among the various approaches to quantum computing, all-optical architectures are especially promising due to the robustness and mobility of single photons. However, the creation of the two-photon quantum logic gates required for universal quantum computing remains a challenge. Here we propose a universal two-qubit quantum logic gate, where qubits are encoded in surface plasmons in graphene nanostructures, that exploits graphene's strong third-order nonlinearity and long plasmon lifetimes to enable single-photon-level interactions. In particular, we utilize strong two-plasmon absorption in graphene nanoribbons, which can greatly exceed single-plasmon absorption to create a “square-root-of-swap” that is protected by the quantum Zeno effect against evolution into undesired failure modes. Our gate does not require any cryogenic or vacuum technology, has a footprint of a few hundred nanometers, and reaches fidelities and success rates well above the fault-tolerance threshold, suggesting that graphene plasmonics offers a route towards scalable quantum technologies.

Highlights

  • Quantum computing could efficiently solve many essential problems

  • Driven by the Zeno effect, the strong nonlinearity of the graphene waveguides reduces the probability that two plasmons are found in the same nanoribbon and increases the success probability. c We describe the SWAP1/2 gate as a six-state system where U is the coupling between ribbons, while γ and γ(2) are the intrinsic damping and two-plasmon absorption rates, respectively state of the qubit

  • As a physical realization of such a graphene-based quantum gate, we envision a system of two graphene nanoribbons that support npj Quantum Information (2019) 37

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Summary

INTRODUCTION

Quantum computing could efficiently solve many essential problems. building a quantum computer is not an easy task. One promising approach is to use single-photons, whose weak interaction with the environment makes them perfectly suitable for encoding and transmitting quantum information This weak interaction strength makes the implementation of photon–photon interactions a significant challenge. (wherein continuous measurement prevents a quantum system from evolving), can boost the success probability of the gate to 100%.4 In this scenario, the quantum Zeno effect requires nonlinear two-photon absorption to occur at the singlephoton-level. The quantum Zeno effect requires nonlinear two-photon absorption to occur at the singlephoton-level To date, such a strong optical nonlinearity has only been achieved via complex interactions with atomic systems,[7] which lack scalability. In other words, |0〉 (|1〉) in the Fock basis represents a logical |0〉 (|1〉)

Alonso Calafell et al 2
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