Measurement of quantum memory effects and its fundamental limitations

Wittemer, Matthias; Clos, Govinda; Breuer, Heinz‐Peter; Warring, U.; Schaetz, Tobias

doi:10.1103/physreva.97.020102

Cited by 34 publications

(33 citation statements)

References 47 publications

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“…The discussion presented in the main text can be generalized straightforwardly to this more general notion of quantum non-Markovianity. For example, it can be shown that equation (17) becomes…”

Section: Appendix C Generalized Non-markovianitymentioning

confidence: 99%

“…The information flow is defined by means of the behavior in time of the distinguishability of two open system states and non-Markovianity is characterized by a non-monotonic time evolution of the distinguishability. Experimental control and measurements of non-Markovian quantum dynamics and of the closely connected impact of initial system-environment correlations have been reported for photonic systems [8][9][10][11][12][13][14], nuclear magnetic resonance [15], and trapped ion systems [16,17].…”

Section: Introductionmentioning

confidence: 99%

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Mixing-induced quantum non-Markovianity and information flow

2018

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Keywords: open quantum systems, non-Markovian quantum dynamics, distinguishability of quantum states, mixing quantum dynamical maps, system-environment correlations, information flow Abstract Mixing dynamical maps describing open quantum systems can lead from Markovian to non-Markovian processes. Being surprising and counter-intuitive, this result has been used as argument against characterization of non-Markovianity in terms of information exchange. Here, we demonstrate that, quite the contrary, mixing can be understood in a natural way which is fully consistent with existing theories of memory effects. In particular, we show how mixing-induced non-Markovianity can be interpreted in terms of the distinguishability of quantum states, systemenvironment correlations and the information flow between system and environment.

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Section: Appendix C Generalized Non-markovianitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixing-induced quantum non-Markovianity and information flow

2018

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“…In this section we consider the case of qubit channels and unital dynamics which have been studied recently in several experimental works [22][23][24][25][26][27][77][78][79][80][81]. Here the RS-uncertainty function calculated over a physical state ρ(t) = Λ(t)ρ(0) (note that this is the time evolved state, not the Choi-state) is found to be a monotonically increasing function under unital evolution.…”

Section: Uncertainty Based Non-markovianity Quantifier For Unitamentioning

confidence: 99%

Detecting non-Markovianity via uncertainty relations

Maity¹,

Bhattacharya²,

Majumdar³

2020

J. Phys. A: Math. Theor.

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We present a formalism for detection of non-Markovianity through uncertainty relations. We show that when there is an information back-flow to the system from its environment through CP-divisibility breaking, the Choistates corresponding to the reduced system evolution contain at least one negative eigenvalue. The consequent break down of uncertainty relations for such states can be used to witness non-Markovian dynamics. We present some relevant examples of the phenomenon for qubit channels. We further prove that square of the variance of a suitable hermitian operator can act as a non-linear witness of non-Markovianity. We finally show that non-Markovianity is necessary in order to decrease the uncertainty of the states undergoing unital dynamics for qubits. This provides another method of certifying non-Markovianity.

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“…We regarded a proper kind of molecule in isotropic liquid as this composite system in our experiments discussed in section 3. Our model may be considered as an abstraction of systems that show non-exponential relaxations [16][17][18][19].…”

Section: Engineered Environmentmentioning

confidence: 99%

“…There are the experiments with ultra cold atoms [9], ions in traps [10], optics [11], and cold electric circuits [12] to study open systems. Experimental controls of the degree of non-Markovianity in optics [13][14][15], ion traps [16], NV centers in diamond [17][18][19], and NMR [20] are most important for our work. We have also reported some preliminary results [21,22].…”

Section: Introductionmentioning

confidence: 99%

Realization of controllable open system with NMR

Matsuzaki

et al. 2019

New J. Phys.

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An open quantum system is now attracting much attention because a quantum device such as quantum computers and quantum sensors is an emerging technology. Here, we present a model of the open system that shows either time-homogeneous Markovian relaxations or non-Markovian relaxations depending on its parameters that we can control. This model is fully described with the master equation that is analytically solvable. More importantly, this model can be easily realized with molecules in isotropic liquids and measured with NMR techniques. V 1 1 , J J J J t t J J J t J t t J J J t J

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Measurement of quantum memory effects and its fundamental limitations

Cited by 34 publications

References 47 publications

Mixing-induced quantum non-Markovianity and information flow

Mixing-induced quantum non-Markovianity and information flow

Detecting non-Markovianity via uncertainty relations

Realization of controllable open system with NMR

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