Autonomous quantum error correction and quantum computation

Lebreuilly, José; Noh, Kyungjoo; Wang, Chiao-Hsuan; Girvin, S. M.; Jiang, Liang

doi:10.48550/arxiv.2103.05007

Cited by 6 publications

(9 citation statements)

References 26 publications

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“…The main challenge in the design and realization of a BQC is therefore the ability to efficiently detect and correct errors resulting from particle loss and dephasing. An additional challenge is to realize autonomous QEC [20], i.e. to design a code which autonomously recovers from an error through an engineered dissipation scheme, without relying on error syndrome measurement and conditional recovery operations.…”

Section: Introductionmentioning

confidence: 99%

“…Errors are described by means of a Markovian model of dissipation, in terms of the (Gorini-Kossakowski-Sudarshan-)Lindblad master equation [7,[62][63][64]. The effect of errors is studied both using the Knill-Laflamme conditions [7,20] and in the more general terms of channel fidelity [13]. We describe a semi-autonomous QEC protocol based on the unconditional periodic application of an optimized recovery operation, and we detail a simple procedure to determine the optimal recovery operation for given displacement and squeezing parameters.…”

Section: Introductionmentioning

confidence: 99%

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Quantum error correction using squeezed Schrödinger cat states

Schlegel,

Minganti,

Savona

2022

Preprint

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Bosonic quantum codes redundantly encode quantum information in the states of a quantum harmonic oscillator, making it possible to detect and correct errors. Schrödinger cat codes -based on the superposition of two coherent states with opposite displacements -can correct phase-flip errors induced by dephasing, but they are vulnerable to bit-flip errors induced by photon loss. Here, we develop a bosonic quantum code relying on squeezed cat states, i.e. cat states made of a linear superposition of displaced-squeezed states. Squeezed cat states allow to partially correct errors caused by photon loss, while at the same time improving the protection against dephasing. We present a comprehensive analysis of the squeezed cat code, including protocols for code generation and elementary quantum gates. We characterize the effect of both photon loss and dephasing and develop an optimal recovery protocol that is suitable to be implemented on currently available quantum hardware. We show that with moderate squeezing, and using typical parameters of stateof-the-art quantum hardware platforms, the squeezed cat code has a resilience to photon-loss errors that significantly outperforms that of the conventional cat code.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum error correction using squeezed Schrödinger cat states

Schlegel,

Minganti,

Savona

2022

Preprint

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“…the multi-dissipator version of our dynamics) could be extremely fruitful. We note that in a very different context, engineered dissipation has been studied theoretically [50,51] and demonstrated experimentally [52][53][54] as means to realize autonomous error correction. Here, dissipative processes are designed to mitigate errors by bringing the system back to a desired code space.…”

Section: Discussionmentioning

confidence: 98%

Quantum nonreciprocal interactions via dissipative gauge symmetry

Wang¹,

Wang²,

Clerk³

2022

Preprint

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One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation, and rely on an effective breaking of time-reversal symmetry as well as the balancing of coherent and dissipative interactions. Here, we present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems, and that does not in general require broken TRS. Our method relies on a local gauge symmetry present in any Markovian Lindblad master equation. This new kind of quantum nonreciprocity has many implications, including a new mechanism for performing dissipatively-stabilized gate operations on a target quantum system. We also introduce a new, extremely general quantuminformation based metric for quantifying quantum nonreciprocity.

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“…To get rid of measurement-induced entropy production, fully quantum autonomous schemes are promising approaches, where error detection and correction are performed along unitary processes. Note that most proposals so far have relied on driven dissipative mechanisms, hence are irreversible by construction [59]. Unitary autonomous measurement and feedback schemes have been implemented at the fundamental level (See e.g.…”

Section: And Back To Fundamentalmentioning

confidence: 99%

Quantum technologies need a Quantum Energy Initiative

Auffèves

2021

Preprint

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Quantum technologies are currently the object of high expectations from governments and private companies, as they hold the promise to shape safer and faster ways to exchange and treat information. However, despite its major potential impact for industry and society, the question of their energetic footprint has remained in a blind spot of current deployment strategies. In this Perspective, I argue that quantum technologies must urgently plan for the creation and structuration of a transverse quantum energy initiative, connecting quantum thermodynamicists, computer scientists, experimenters and engineers. Such initiative is the only path towards sustainable quantum technologies, help reducing the cost of classical information processing, and possibly bring out an energetic quantum advantage.

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Autonomous quantum error correction and quantum computation

Cited by 6 publications

References 26 publications

Quantum error correction using squeezed Schrödinger cat states

Quantum error correction using squeezed Schrödinger cat states

Quantum nonreciprocal interactions via dissipative gauge symmetry

Quantum technologies need a Quantum Energy Initiative

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