Coin dimensionality as a resource in quantum metrology involving discrete-time quantum walks

Cavazzoni, Simone; Razzoli, Luca; Ragazzi, Giovanni; Bordone, Paolo; Paris, Matteo G. A.

doi:10.1103/physreva.109.022432

Phys. Rev. A

2024

DOI: 10.1103/physreva.109.022432

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Coin dimensionality as a resource in quantum metrology involving discrete-time quantum walks

Simone Cavazzoni,

Luca Razzoli,

Giovanni Ragazzi

et al.

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Cited by 3 publications

References 54 publications

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Parrondo’s paradox in quantum walks with different shift operators

Walczak,

Bauer

2024

Quantum Inf Process

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Parrondo’s paradox in quantum walks with different shift operators

Walczak,

Bauer

2024

Quantum Inf Process

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Generalized phase estimation in noisy quantum gates

Ragazzi,

Cavazzoni,

Bordone

et al. 2024

Phys. Rev. A

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Optimizing topology for quantum probing with discrete-time quantum walks

Cavazzoni,

Bordone,

Paris

2024

AVS Quantum Science

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Discrete-time quantum walk (DTQW) represents a convenient mathematical framework for describing the motion of a particle on a discrete set of positions when this motion is conditioned by the values of certain internal degrees of freedom, which are usually referred to as the coin of the particle. As such, and owing to the inherent dependence of the position distribution on the coin degrees of freedom, DTQWs naturally emerge as promising candidates for quantum metrology. In this paper, we explore the use of DTQWs as quantum probes in scenarios where the parameter of interest is encoded in the internal degree of freedom of the walker and investigate the role of the topology of the walker's space on the attainable precision. In particular, we start considering the encoding of the parameter by rotations for a walker on the line and evaluate the quantum Fisher information (QFI) and the position Fisher information (FI), explicitly determining the optimal initial state in position space that maximizes the QFI across all encoding schemes. This allows us to understand the role of interference in the position space and to introduce an optimal topology, which maximizes the QFI of the coin parameter and makes the position FI equal to the QFI.

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Coin dimensionality as a resource in quantum metrology involving discrete-time quantum walks

Cited by 3 publications

References 54 publications

Parrondo’s paradox in quantum walks with different shift operators

Parrondo’s paradox in quantum walks with different shift operators

Generalized phase estimation in noisy quantum gates

Optimizing topology for quantum probing with discrete-time quantum walks

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