Design of nanophotonic circuits for autonomous subsystem quantum error correction

Kerckhoff, Joseph; Pavlichin, Dmitri S.; Chalabi, Hamidreza; Mabuchi, Hideo

doi:10.1088/1367-2630/13/5/055022

Cited by 29 publications

(57 citation statements)

References 19 publications

(56 reference statements)

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“…A number of experiments have been performed in this paradigm, including disturbance rejection 19 and the control of optical squeezing 30,31 . Further proposals include automatic quantum error correction 32,33 , suppression of switching in bistable optical systems 34 , cavity cooling 35,36 , and the generation of entangled photons 37 . Whilst these developments have taken place largely in the context of quantum optics, our aim here is to study coherent feedback control in quantum transport.…”

Section: Introductionmentioning

confidence: 99%

Coherent feedback control in quantum transport

Emary

Gough

2014

Phys. Rev. B

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We discuss control of the quantum-transport properties of a mesoscopic device by connecting it in a coherent feedback loop with a quantum-mechanical controller. We work in a scattering approach and derive results for the combined scattering matrix of the device-controller system and determine the conditions under which the controller can exert ideal control on the output characteristics. As concrete example we consider the use of feedback to optimise the conductance of a chaotic quantum dot and investigate effects of controller dimension and decoherence. In both respects we find that the performance of the feedback geometry is well in excess of that offered by a simple series configuration.

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Section: Introductionmentioning

confidence: 99%

Coherent feedback control in quantum transport

Emary

Gough

2014

Phys. Rev. B

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“…While some of the most interesting problems in quantum feedback control are nonlinear [16][17][18][19][20][21], linear open quantum systems provide a logical first step towards more general problems. Working with linear systems, James, Nurdin, and Petersen [22,23] have utilized interconnection models [24][25][26] based on quantum stochastic differential equations [27][28][29] to develop generalizations of the traditional H 1 and linear quadratic Gaussian (LQG) control paradigms that allow for the possibility of coherent optical feedback with linear quantum controllers.…”

mentioning

confidence: 99%

Advantages of Coherent Feedback for Cooling Quantum Oscillators

2012

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We model the cooling of open optical and optomechanical resonators via optical feedback in the linear quadratic Gaussian setting of stochastic control theory. We show that coherent feedback control schemes, in which the resonator is embedded in an interferometer to achieve all-optical feedback, can outperform the best possible linear quadratic Gaussian measurement-based schemes in the quantum regime of low steady-state excitation number. Such performance gains are attributed to the coherent controller's ability to process noncommuting output field quadratures simultaneously without loss of fidelity, and may provide important clues for the design of coherent feedback schemes for more general problems of nonlinear and robust control.

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“…Also, compared to the protocols in [21,22], we avoid any requirement of directional couplings which greatly simplifies the experimental implementation of such a protocol with superconducting circuits. Indeed, ensuring any directionality in the transmission of quantum information, while avoiding corruption with extra noise, necessitates the development of new quantumlimited devices based on Josephson elements and represents, by itself, a significant experimental objective.…”

Section: Introductionmentioning

confidence: 99%

Dissipation-induced continuous quantum error correction for superconducting circuits

Cohen¹,

Mirrahimi²

2014

Phys. Rev. A

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Quantum error correction (QEC) is a crucial step towards long coherence times required for efficient quantum information processing (QIP). One major challenge in this direction concerns the fast real-time analysis of error syndrome measurements and the associated feedback control. Recent proposals on autonomous QEC (AQEC) have opened new perspectives to overcome this difficulty. Here, we design an AQEC scheme based on quantum reservoir engineering adapted to superconducting qubits. We focus on a three-qubit bit-flip code, where three transmon qubits are dispersively coupled to a few low-Q resonator modes. By applying only continuous-wave drives of fixed but well-chosen frequencies and amplitudes, we engineer an effective interaction Hamiltonian to evacuate the entropy created by eventual bit-flip errors. We provide a full analytical and numerical study of the protocol, while introducing the main limitations on the achievable error correction rates.

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Design of nanophotonic circuits for autonomous subsystem quantum error correction

Cited by 29 publications

References 19 publications

Coherent feedback control in quantum transport

Coherent feedback control in quantum transport

Advantages of Coherent Feedback for Cooling Quantum Oscillators

Dissipation-induced continuous quantum error correction for superconducting circuits

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