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Quantum Information Processing

Encoding qubits into harmonic-oscillator modes via quantum walks in phase space

  • 01-08-2020
Published in:
Authors
Chai-Yu Lin
Wang-Chang Su
Shin-Tza Wu
Published in
Quantum Information Processing | Issue 8/2020

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Abstract

We provide a theoretical framework for encoding arbitrary logical states of a quantum bit (qubit) into a continuous-variable quantum mode through quantum walks. Starting with a squeezed vacuum state of the quantum mode, we show that quantum walks of the state in phase space can generate output states that are variants of codeword states originally put forward by Gottesman, Kitaev and Preskill (GKP) (Phys Rev A 64:012310, 2001). In particular, with a coin-toss transformation that projects the quantum coin onto the diagonal coin state, we show that the resulting dissipative quantum walks can generate qubit encoding akin to the prototypical GKP encoding. We analyze the performance of these codewords for error corrections and find that even without optimization our codewords outperform the GKP ones by a narrow margin. Using the circuit representation, we provide a general architecture for the implementation of this encoding scheme and discuss its possible realization through circuit quantum-electrodynamics systems.

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previous article Quantum QR decomposition in the computational basis
next article Quantum algorithms for learning the algebraic normal form of quadratic Boolean functions
Title
Encoding qubits into harmonic-oscillator modes via quantum walks in phase space
Authors
Chai-Yu Lin
Wang-Chang Su
Shin-Tza Wu
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02775-6
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