Inferring the arrow of time in quantum spatiotemporal correlations

• URL: http://arxiv.org/abs/2311.07086v3
• Date: Thu, 25 Apr 2024 12:42:40 GMT
• Title: Inferring the arrow of time in quantum spatiotemporal correlations
• Abstract summary: We consider how to tell the time-ordering associated with measurement data from quantum experiments at two times and any number of qubits. We represent the measurement data via the pseudo density matrix space-time state. For asymmetric conditions, the protocol determines whether the data is consistent with the unitary dilation recovery map or the CPTP map.
• Score: 2.8126330819254832
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We consider how to tell the time-ordering associated with measurement data from quantum experiments at two times and any number of qubits. We define an arrow of time inference problem. We consider conditions on the initial and final states that are symmetric or asymmetric under time reversal. We represent the spatiotemporal measurement data via the pseudo density matrix space-time state. There is a forward process which is CPTP and a reverse process which is obtained via a novel recovery map based on inverting unitary dilations. For asymmetric conditions, the protocol determines whether the data is consistent with the unitary dilation recovery map or the CPTP map. For symmetric conditions, the recovery map yields a valid CPTP map and the experiment may have taken place in either direction. We also discuss adapting the approach to the Leifer-Spekkens or Process matrix space-time states.

Related papers

• Entangled quantum clocks as operational probes of spacetime curvature [41.99844472131922]
  We study two localized nonrelativistic quantum particles propagating along timelike geodesics in a curved spacetime background.<n>We compute the covariance of the resulting time observables for separable and entangled two-particle states.<n>We show that spacetime curvature can modify operationally defined quantum correlations.
  arXiv  Detail & Related papers  (2026-07-07T00:58:35Z)
• A Time-Symmetric Formulation of Quantum Measurement: Reinterpreting the Arrow of Time as Information Flow [0.0]
  This study proposes a time-symmetric framework for quantum measurement.<n>It restores microscopic reversibility at the level of the dynamical description.<n>It is shown to satisfy Spohn's inequality for the associated quantum Markov semigroup.
  arXiv  Detail & Related papers  (2025-11-27T07:57:40Z)
• Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
  The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
  arXiv  Detail & Related papers  (2025-08-25T20:30:56Z)
• Bipartite quantum states admitting a causal explanation [0.0]
  We prove that every bipartite density matrix is temporally compatible with direct causal influence for arbitrary finite-dimensional quantum systems.<n>We also provide an operational meaning for the temporal evolution consistent with such correlations.<n>We prove necessary and sufficient conditions for an arbitrary bipartite quantum state to be temporally compatible.
  arXiv  Detail & Related papers  (2025-07-18T18:00:00Z)
• Simultaneous symmetry breaking in spontaneous Floquet states: Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator [49.1574468325115]
  We study simultaneous symmetry-breaking in a spontaneous Floquet state, focusing on the specific case of an atomic condensate. We first describe the quantization of the Nambu-Goldstone (NG) modes for a stationary state simultaneously breaking several symmetries of the Hamiltonian. We extend the formalism to Floquet states simultaneously breaking several symmetries, where Goldstone theorem translates into the emergence of Floquet-Nambu-Goldstone modes with zero quasi-energy.
  arXiv  Detail & Related papers  (2024-02-16T16:06:08Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Measurement events relative to temporal quantum reference frames [44.99833362998488]
  We compare two consistent approaches to the Page-Wootters formalism to clarify the operational meaning of evolution and measurements. We show that for non-ideal clocks, the purified measurement approach yields time non-local, non-unitary evolution.
  arXiv  Detail & Related papers  (2023-08-21T18:26:12Z)
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits [0.0]
  We consider quantum circuits in one and two dimensions comprising randomly applied unitary gates and local measurements. In the absence of randomness, the protocol generates a symmetry-protected long-range entangled state in a finite-depth circuit. We find two important time scales that we associate with the emergence of certain symmetry generators.
  arXiv  Detail & Related papers  (2023-06-22T16:09:12Z)
• Timelike entanglement entropy [0.880802134366532]
  We define a new complex-valued measure of information called the timelike entanglement entropy (EE) For holographic systems we define the timelike EE as the total valued area of a particular stationary combination of both space and timelike surfaces.
  arXiv  Detail & Related papers  (2023-02-22T23:16:41Z)
• Physical realization of realignment criteria using structural physical approximation [0.0]
  Entanglement detection is an important problem in quantum information theory. Realignment criteria is a powerful tool for detection of entangled states in bipartite and multipartite quantum system.
  arXiv  Detail & Related papers  (2023-01-24T09:41:33Z)
• Simulating scalar field theories on quantum computers with limited resources [62.997667081978825]
  We present a quantum algorithm for implementing $phi4$ lattice scalar field theory on qubit computers. The algorithm allows efficient $phi4$ state preparation for a large range of input parameters in both the normal and broken symmetry phases.
  arXiv  Detail & Related papers  (2022-10-14T17:28:15Z)
• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism [0.8702432681310401]
  A quantum particle's state, called a time-bidirectional state, is equivalent to a joined state of two particles propagating in opposite time directions. We show how the obtained expressions reduce to known ones in the special cases of no postselection and generalized two-state (density) vectors. We employ the developed techniques for tracking of a qubit's time-reversal journey in a quantum teleportation protocol realized with a cloud-accessible noisy superconducting quantum processor.
  arXiv  Detail & Related papers  (2022-10-03T12:12:15Z)
• Untwining multiple parameters at the exclusive zero-coincidence points with quantum control [3.600673741710729]
  A collection of parameters are said to be intertwined when their imprinting on a quantum probe is performed by a set of linearly dependent generators. We show that the parameters can be effectively untwined by inserting a sequence of balanced beam splitters. For the case of two time delays we prove that, when the employed probe is the frequency-correlated biphoton state, the untwining occurs in correspondence of exclusive zero-coincidence (EZC) point.
  arXiv  Detail & Related papers  (2022-06-13T09:41:11Z)
• Universality-of-clock-rates test using atom interferometry with $T^{3}$ scaling [63.08516384181491]
  Atomic clocks generate delocalized quantum clocks. Tests of universality of clock rates (one facet of LPI) to atom interferometry generating delocalized quantum clocks proposed. Results extend our notion of time, detached from classical and localized philosophies.
  arXiv  Detail & Related papers  (2022-04-05T12:26:56Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.