Error correction of a logical grid state qubit by dissipative pumping

Neeve, Brennan de; Nguyen, Thanh Long; Behrle, Tanja; Home, Jonathan

doi:10.1038/s41567-021-01487-7

Cited by 78 publications

(31 citation statements)

References 26 publications

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“…tivates the following issue: how to physically implement the autonomous stabilization scheme attached to the Lindblad master equation (3) ? Quantum superconducting circuits [7] and trapped ions [8] appear as promising platforms for this task.…”

Section: Discussionmentioning

confidence: 99%

Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator

Sellem¹,

Campagne-Ibarcq²,

Mirrahimi³

et al. 2022

Preprint

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Based on the stabilizer formalism underlying Quantum Error Correction (QEC), the design of an original Lindblad master equation for the density operator of a quantum harmonic oscillator is proposed. This Lindblad dynamics stabilizes exactly the finite-energy grid states introduced in 2001 by Gottesman, Kitaev and Preskill for quantum computation. Stabilization results from an exponential Lyapunov function with an explicit lower-bound on the convergence rate. Numerical simulations indicate the potential interest of such autonomous QEC in presence of non-negligible photon-losses.

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Section: Discussionmentioning

confidence: 99%

Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator

Sellem¹,

Campagne-Ibarcq²,

Mirrahimi³

et al. 2022

Preprint

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“…The measurement correction cycle is an example of engineered dissipation, precisely because the measurements (which are intrinsically dissipative) need to be engineered not to disturb logical states. The measurement-feedback system can be implemented at a hardware level, making the system self-correcting [95][96][97][98][99][100][101][102][103] , or other hardware choices can be made to reduce noise sensitivity 104 .…”

Section: Quantum Error Correctionmentioning

confidence: 99%

“…In circuit QED, the GKP code has been implemented by creating oscillator displacements conditional on a qubit state in such a way that measurement of the qubit projects the oscillator onto the desired grid state 120 . The GKP state has also been produced using the motional degrees of freedom of trapped ions 103,121 . Autonomous error correction has even been demonstrated 103 .…”

Section: Quantum Error Correctionmentioning

confidence: 99%

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Engineered Dissipation for Quantum Information Science

Harrington¹,

Mueller²,

Murch³

2022

Preprint

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Quantum information processing relies on precise control of non-classical states in the presence of many uncontrolled environmental degrees of freedom-requiring careful orchestration of how the relevant degrees of freedom interact with that environment. These interactions are often viewed as detrimental, as they dissipate energy and decohere quantum states. Nonetheless, when controlled, dissipation is an essential tool for manipulating quantum information: Dissipation engineering enables quantum measurement, quantum state preparation, and quantum state stabilization. The progress of quantum device technology, marked by improvements of characteristic coherence times and extensible architectures for quantum control, has coincided with the development of such dissipation engineering tools which interface quantum and classical degrees of freedom. This Review presents dissipation as a fundamental aspect of the measurement and control of quantum devices and highlights the role of dissipation engineering for quantum error correction and quantum simulation that enables quantum information processing on a practical scale.

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“…We call such QEC schemes discrete quantum error correction codes (DQEC). To date, DQEC has proven very difficult to implement experimentally and so far has been demonstrated with limited success in a few platforms that include ion traps [2-4], diamond NV centers [5], and superconducting circuits [6][7][8][9][10][11][12][13]. A less explored alternative is the use of weak continuous measurements instead of projective measurements, first proposed theoretically about two decades ago [14,15], which has been recently demonstrated experimentally [16].…”

mentioning

confidence: 99%

Measurement based estimator scheme for continuous quantum error correction

Borah,

Sarma,

Kewming

et al. 2022

Preprint

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Quantum error correction (QEC) is necessary for any prospective quantum computation in the near future. Canonical QEC schemes use projective von Neumann measurements on certain parity operators (stabilizers) to discretize the error syndromes into a finite set, and fast unitary gates are applied to recover the corrupted information [1]. We call such QEC schemes discrete quantum error correction codes (DQEC). To date, DQEC has proven very difficult to implement experimentally and so far has been demonstrated with limited success in a few platforms that include ion traps [2-4], diamond NV centers [5], and superconducting circuits [6][7][8][9][10][11][12][13]. A less explored alternative is the use of weak continuous measurements instead of projective measurements, first proposed theoretically about two decades ago [14,15], which has been recently demonstrated experimentally [16]. Such QEC schemes are known as continuous quantum error correction codes (CQEC) and in principle can be executed faster than DQEC. However, CQEC requires meticulous filtering of noisy continuous measurement data to reliably extract error syndromes on the basis of which errors could be detected. In this work, we show that by constructing a real-time measurement-based estimator (MBE) of the real logical qubit to be protected, which is driven by the noisy continuous measurement currents of the stabilizers, it is possible to accurately track the actual errors occurring within the real qubits in real-time. We use this MBE to develop a novel continuous quantum error correction (MBE-CQEC) scheme that can protect the logical qubit to a high degree, and also allows the error correction to be applied either immediately or at a later time.

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Error correction of a logical grid state qubit by dissipative pumping

Cited by 78 publications

References 26 publications

Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator

Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator

Engineered Dissipation for Quantum Information Science

Measurement based estimator scheme for continuous quantum error correction

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