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Quantum Information Processing

Quantum witness of a damped and driven qubit by sequential intermediate measurements with uniform and nonuniform time intervals

  • 01-08-2020
Published in:
Authors
Longyan Gong
Kaixin Ma
Xiaoxin Zhao
Weiwen Cheng
Shengmei Zhao
Published in
Quantum Information Processing | Issue 8/2020

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Abstract

Measurement can reveal the difference between quantum physics and classical one. Recently, a quantum witness \(W_q\) was proposed to characterize quantumness (Li et al. in Sci Rep 2:885, 2012; Kofler and Brukner in Phys Rev A 87:052115, 2013). It is built upon the no-signaling-in-time condition, and there is only one-time intermediate measurement. As an extension, we consider here multiple intermediate measurements at different moments of time. And we discuss the quantumness of a damped and driven qubit. Uniform, quasiperiodic and random time-interval sequences (TISs) of measurements are considered, respectively. Numerical results show that \(W_q\) depends on the kind of TISs when the number of measurements N is less than 10, while it is almost independent of the kind of TISs when N is larger. Further, \(W_q\le W_q^{max}(N)=(1-\frac{1}{2N}) e^{-\gamma \tau }\) for all cases, where \(\tau \) is the evolution time, \(\gamma \) is the dephasing intensity, and \(W_q^{max}(N)\) is the maximum violation of the quantum witness equality.

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previous article Sum rule of quantum uncertainties: coupled harmonic oscillator system with time-dependent parameters
next article Entanglement-assisted noiseless linear amplification for arbitrary two-photon polarization–time-bin hyperentanglement
Title
Quantum witness of a damped and driven qubit by sequential intermediate measurements with uniform and nonuniform time intervals
Authors
Longyan Gong
Kaixin Ma
Xiaoxin Zhao
Weiwen Cheng
Shengmei Zhao
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/s11128-020-02765-8
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