Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

Tzitrin, Ilan; Bourassa, J. Eli; Menicucci, Nicolas C.; Sabapathy, Krishna Kumar

doi:10.1103/physreva.101.032315

Cited by 147 publications

(143 citation statements)

References 66 publications

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“…Any reliance of either type of architecture on deterministic sources of optical GKP qubits is at odds with the current state of theory and technology. The numerous procedures for generating optical GKP states that have been proposed tend either to be non-deterministic, as they rely on post-selected measurements directly [25][26][27][28][29][30] or indirectly [31][32][33]; or require the experimentally challenging conditions of coherent interactions with matter [34,35] or extremely strong optical nonlinearity [35]. Recent advances in photon-number-resolving (PNR) detectors [36][37][38][39] have substantially improved the viability of the post-selection approach in the near term, with methods based on Gaussian boson sampling (GBS) [27][28][29][30] now within reach of state-of-the-art optical devices.…”

Section: Overview Of Architecturementioning

confidence: 99%

“…Many related methods can be used for defining finite-energy versions of these states [30,66]. A common approximation is to replace each delta function in the GKP wave-function with a Gaussian of width ∆, in addition to an overall Gaussian envelope of width 1/∆ that damps the peak weighting further from the origin [20]:…”

Section: Qubits Encoded Into Bosonic Modesmentioning

confidence: 99%

“…This preparation of non-Gaussian states of light including single bosonic qubits using GBS devices has been developed in Refs. [27][28][29][30], and we summarize the relevant portions briefly here.…”

Section: Generating Bosonic Qubits Via Gbsmentioning

confidence: 99%

“…1. The number of modes, [27][28][29][30]. The emitted light from one output port is in a chosen non-Gaussian state subject to obtaining the correct click pattern {ni} at the PNR detectors connected to the remaining output ports.…”

Section: Generating Bosonic Qubits Via Gbsmentioning

confidence: 99%

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Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Bourassa

Alexander

Vasmer

et al. 2021

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Photonics is the platform of choice to build a modular, easy-to-network quantum computer operating at room temperature. However, no concrete architecture has been presented so far that exploits both the advantages of qubits encoded into states of light and the modern tools for their generation. Here we propose such a design for a scalable fault-tolerant photonic quantum computer informed by the latest developments in theory and technology. Central to our architecture is the generation and manipulation of three-dimensional resource states comprising both bosonic qubits and squeezed vacuum states. The proposal exploits state-of-the-art procedures for the non-deterministic generation of bosonic qubits combined with the strengths of continuous-variable quantum computation, namely the implementation of Clifford gates using easy-to-generate squeezed states. Moreover, the architecture is based on two-dimensional integrated photonic chips used to produce a qubit cluster state in one temporal and two spatial dimensions. By reducing the experimental challenges as compared to existing architectures and by enabling room-temperature quantum computation, our design opens the door to scalable fabrication and operation, which may allow photonics to leap-frog other platforms on the path to a quantum computer with millions of qubits.

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Section: Overview Of Architecturementioning

confidence: 99%

Section: Qubits Encoded Into Bosonic Modesmentioning

confidence: 99%

Section: Generating Bosonic Qubits Via Gbsmentioning

confidence: 99%

Section: Generating Bosonic Qubits Via Gbsmentioning

confidence: 99%

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Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Bourassa

Alexander

Vasmer

et al. 2021

Quantum

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234

202

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“…For this purpose, symmetric GKP states are particularly useful, not only as the qubit but also as ancillaries for error correction. GKP states have been thoroughly reviewed in several places [33,34] [27].…”

Section: Error Correctionmentioning

confidence: 99%

Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states

2020

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Quantum Computation with Continuous-Variable Systems

Matsuura

2023

Springer Theses

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Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

Cited by 147 publications

References 66 publications

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer

Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states

Quantum Computation with Continuous-Variable Systems

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