All-optical long-distance quantum communication with Gottesman-Kitaev-Preskill qubits

Fukui, Kosuke; Alexander, Rafael N.; Loock, Peter van

doi:10.1103/physrevresearch.3.033118

Cited by 46 publications

(53 citation statements)

References 51 publications

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“…In addition to the application for QC [209][210][211], the GKP qubit performs well for quantum communication [212][213][214] thanks to the robustness against photon loss [196]. Indeed, recent results show that using GKP qubits may greatly enhance the distance of quantum communication [215,216].…”

Section: Gkp Qubitmentioning

confidence: 99%

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Building a large-scale quantum computer with continuous-variable optical technologies

Fukui,

Takeda

2021

Preprint

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Realizing a large-scale quantum computer requires hardware platforms that can simultaneously achieve universality, scalability, and fault tolerance. As a viable pathway to meeting these requirements, quantum computation based on continuous-variable optical systems has recently gained more attention due to its unique advantages and approaches. This review introduces several topics of recent experimental and theoretical progress in the optical continuous-variable quantum computation that we believe are promising. In particular, we focus on scaling-up technologies enabled by time multiplexing, bandwidth broadening, and integrated optics, as well as hardware-efficient and robust bosonic quantum error correction schemes.

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Section: Gkp Qubitmentioning

confidence: 99%

“…The performance of the above three techniques has been compared in the context of the quantum repeater protocol in Ref. [215]. Additionally, the rescaling technique has been applied to fault-tolerant QC with the GKP qubits [208].…”

Section: Error Model For the Gkp Qubitmentioning

confidence: 99%

Building a large-scale quantum computer with continuous-variable optical technologies

Fukui,

Takeda

2021

Preprint

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“…In fact, among all possible finite-dimensional subspaceencodings over the CV, infinite dimensional Hilbert space of a bosonic mode [32], the GKP qubit encoding is close to the optimal encoding for quantum capacity of Gaussian thermal loss channels with average photon number constraint [33]. This makes them suitable for error correction-based quantum repeaters [34,35]. GKP qubit states are sufficiently non-Gaussian that all qubitlevel Clifford operations can be deterministically and efficiently implemented using linear optics and coherent homodyne detection [36].…”

Section: Introductionmentioning

confidence: 99%

“…Given a supply of approximate GKP qubit states, the generation of CV GKP graph states has important applications in measurement-based quantum computation as well as in all-optical quantum repeaters, where the graph states play the role of quantum memories [34,42]. This task was investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Coherent manipulation of graph states composed of finite-energy Gottesman-Kitaev-Preskill-encoded qubits

Seshadreesan,

Dhara,

Patil

et al. 2021

Preprint

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Graph states are a central resource in measurement-based quantum information processing. In the photonic qubit architecture based on Gottesman-Kitaev-Preskill (GKP) encoding, the generation of high-fidelity graph states composed of realistic, finite-energy approximate GKP-encoded qubits thus constitutes a key task. We consider the finite-energy approximation of GKP qubit states given by a coherent superposition of shifted finite-squeezed vacuum states, where the displacements are Gaussian distributed. We present an exact description of graph states composed of such approximate GKP qubits as a coherent superposition of a Gaussian ensemble of randomly displaced ideal GKPqubit graph states. We determine the transformation rules for the covariance matrix and the mean displacement vector of the Gaussian distribution of the ensemble under tools such as GKP-Steane error correction and fusion operations that can be used to grow large, high-fidelity GKP-qubit graph states. The former captures the noise in the graph state due to the finite-energy approximation of GKP qubits, while the latter relates to the possible absolute displacement shift errors on the individual qubits due to the homodyne measurements that are a part of these tools. The rules thus help in pinning down an exact coherent error model for graph states generated from truly finite-energy GKP qubits, which can shed light on their error correction properties.

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“…Furthermore, for quantum communication one only needs Clifford gates and Pauli-measurements which can be implemented in the GKP encoding with Gaussian optics and homodyne measurements. Recently concatenations with qubit stabilizer codes have been considered for communication [12] making also use of the analog information in the GKP error syndrome [13].…”

Section: Introductionmentioning

confidence: 99%

Quantum error correction with higher Gottesman-Kitaev-Preskill codes: minimal measurements and linear optics

Schmidt,

van Loock

2021

Preprint

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We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by means of linear optical operations, homodyne measurements and GKP ancillae. This includes showing that for a concatenation of GKP codes with a [n, k, d] stabilizer code only 2n measurements are needed in order to obtain the complete syndrome information, significantly reducing the number of measurements in comparison to the canonical concatenated measurement scheme and at the same time generalizing linear-optics-based syndrome detections to higher GKP codes. Furthermore, we analyze the possibility of building the required ancilla states from single-mode states and linear optics. We find that for simple GKP codes this is possible, whereas for concatenations with qubit Calderbank-Shor-Steane (CSS) codes of distance d ≥ 3 it is not. We also consider the canonical concatenated syndrome measurements and propose methods for avoiding crosstalk between ancillae. In addition, we make use of the observation that the concatenation of a GKP code with a stabilizer code forms a lattice in order to see the analog information decoding of such codes from a different perspective allowing for semi-analytic calculations of the logical error rates.

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All-optical long-distance quantum communication with Gottesman-Kitaev-Preskill qubits

Cited by 46 publications

References 51 publications

Building a large-scale quantum computer with continuous-variable optical technologies

Building a large-scale quantum computer with continuous-variable optical technologies

Coherent manipulation of graph states composed of finite-energy Gottesman-Kitaev-Preskill-encoded qubits

Quantum error correction with higher Gottesman-Kitaev-Preskill codes: minimal measurements and linear optics

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