Genuine multipartite entanglement in time

Milz, Simon; Spee, Cornelia; Xu, Zhen-Peng; Pollock, Felix A.; Modi, Kavan; Gühne, Otfried

doi:10.21468/scipostphys.10.6.141

Cited by 29 publications

(17 citation statements)

References 76 publications

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“…Examples of such geometric measures include the non-Markovianity [2,3,5,49,50], the entanglement in time (including genuinely multipartite entanglement) [7], and the classicality of a process [8,9]. Given that the implications of process equilibration on non-Markovianity was investigated in Ref.…”

Section: Equilibration Of Geometric Measuresmentioning

confidence: 99%

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Equilibration of Non-Markovian Quantum Processes in Finite Time Intervals

Neil¹,

Pedro²,

Pollock³

et al. 2021

Preprint

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Quantum stochastic processes are shown, within finite time intervals and for finite dimensional time-independent Hamiltonians, to be close to a corresponding stationary equilibrium process. This occurs for multitime observables that are coarse grained in both space and time, and for systems which have many significantly interacting energy eigenstates. This dictates conditions on time scales at when the multitime statistics of any arbitrary non-equilibrium quantum process look equilibrium on average. We show that this leads to the equilibration of general geometric measures of quantum processes, such as the degree of non-Markovianity or classicality. The implications of this result for the emergence of classical stochastic processes from underlying quantum mechanics are also discussed.

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Section: Equilibration Of Geometric Measuresmentioning

confidence: 99%

“…1(a)-(c), and will be more formally constructed later in this work. Such a description of quantum processes allows the characterization of temporal features such as the degree of non-Markovianity of a process [5,6], the genuine multipartite entanglement in time [7], or when the statistics look classical [8,9].…”

Section: Introductionmentioning

confidence: 99%

Equilibration of Non-Markovian Quantum Processes in Finite Time Intervals

Neil¹,

Pedro²,

Pollock³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…It should be pointed out that the influence tensor we have derived above is in fact a process tensor [40,44,47]. A process tensor is a mapping from the space of possible inputs to a system at a discrete set of times, for example a measurement or a preparation, to output states.…”

Section: B Time-ordering Using Tensor Contractionsmentioning

confidence: 99%

Exact dynamics of non-additive environments in non-Markovian open quantum systems

Gribben,

Rouse,

Iles-Smith

et al. 2021

Preprint

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When a quantum system couples strongly to multiple baths then it is generally no longer possible to describe the resulting system dynamics by simply adding the individual effects of each bath. However, capturing such multi-bath system dynamics has up to now required approximations that can obscure some of the non-additive effects. Here we present a numerically-exact and efficient technique for tackling this problem that builds on the time-evolving matrix product operator (TEMPO) representation. We test the method by applying it to a simple model system that exhibits nonadditive behaviour: a two-level dipole coupled to both a vibrational and an optical bath. Although not directly coupled, there is an effective interaction between the baths mediated by the system that can lead to population inversion in the matter system when the vibrational coupling is strong. We benchmark and validate multi-bath TEMPO against two approximate methods -one based on a polaron transformation, the other on an identification of a reaction coordinate -before exploring the regime of simultaneously strong vibrational and optical coupling where the approximate techniques break down. Here we uncover a new regime where the quantum Zeno effect leads to a fully mixed state of the electronic system.

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“…It is the quantum generalisation of the joint classical probability distribution and unambiguously represents a quantum stochastic process [24], and reduces to the classical case in the right limits [32,33]. contains all accessible multitime correlations [34][35][36], including temporal entanglement [37][38][39].…”

Section: Process Tensormentioning

confidence: 99%

Quantum Markov monogamy inequalities

Capela,

Céleri,

Chaves

et al. 2021

Preprint

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Markovianity lies at the heart of classical communication problems. This in turn makes the information-theoretic characterization of Markovian processes worthwhile. Data processing inequalities are ubiquitous in this sense, assigning necessary conditions for all Markovian processes. We address here the problem of the information-theoretic analysis of constraints on Markovian processes in the quantum regime. Firstly, we show the existence of a novel class of quantum data processing inequalities called here quantum Markov monogamy inequalities. This new class of necessary conditions on quantum Markovian processes is inspired by its counterpart for classical Markovian processes, and thus providing a strong link between classical and quantum constraints on Markovianity. Secondly, we show the relevance of such inequalities by considering an example of non-Markovian behaviour witnessed by a monogamy inequality, nevertheless, do not violating any of the remaining data processing inequalities. Lastly, we show how this inequalities can be used to witness non-Markovianity at the level of the process tensor formalism.

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Genuine multipartite entanglement in time

Cited by 29 publications

References 76 publications

Equilibration of Non-Markovian Quantum Processes in Finite Time Intervals

Equilibration of Non-Markovian Quantum Processes in Finite Time Intervals

Exact dynamics of non-additive environments in non-Markovian open quantum systems

Quantum Markov monogamy inequalities

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