Masanes-Galley-M\"uller and the State-Update Postulate

• URL: http://arxiv.org/abs/2211.03299v1
• Date: Mon, 7 Nov 2022 04:31:41 GMT
• Title: Masanes-Galley-M\"uller and the State-Update Postulate
• Authors: Blake C. Stacey
• Abstract summary: Masanes, Galley and M"uller claim to have derived a unique rule for quantum state update consequent upon a measurement outcome. Their proof implicitly assumes its first step, namely that the state-update rule is linear.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Masanes, Galley and M\"uller claim to have derived a unique rule for quantum state update consequent upon a measurement outcome. Upon closer examination, their proof implicitly assumes its first step, namely that the state-update rule is linear.

Related papers

• Unified Quantum Dynamics: The Emergence of the Born Rule [0.0]
  We show that the Born rule emerges naturally from a modified Schr"odinger equation that includes "small-signal truncation" This parallels the way quantum decoherence gives rise to the branches of the multiverse in the "Many-Worlds Interpretation"
  arXiv  Detail & Related papers  (2025-04-08T23:43:16Z)
• Is Born-Jordan really the universal Path Integral Quantization Rule? [0.0]
  It has been argued that the Feynman path integral formalism leads to a quantization rule, and that the Born-Jordan rule is the unique quantization rule consistent with the correct short-time propagator behavior of the propagator for non-relativistic systems. We examine this short-time approximation and conclude, contrary to prevailing views, that the expansion applies only to Hamiltonian functions that are at most in the momentum and with constant mass.
  arXiv  Detail & Related papers  (2025-01-12T23:43:46Z)
• Speed limits and thermodynamic uncertainty relations for quantum systems governed by non-Hermitian Hamiltonian [1.6574413179773757]
  Non-Hermitian Hamiltonians play a crucial role in describing open quantum systems and nonequilibrium dynamics. We derive trade-off relations for systems governed by non-Hermitian Hamiltonians, focusing on the Margolus-Levitin-type and Mandelstam-Tamm-type bounds.
  arXiv  Detail & Related papers  (2024-04-25T08:00:12Z)
• 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)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Emergence of Fermi's Golden Rule [55.73970798291771]
  Fermi's Golden Rule (FGR) applies in the limit where an initial quantum state is weakly coupled to a continuum of other final states overlapping its energy. Here we investigate what happens away from this limit, where the set of final states is discrete, with a nonzero mean level spacing.
  arXiv  Detail & Related papers  (2022-06-01T18:35:21Z)
• Canonically consistent quantum master equation [68.8204255655161]
  We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
  arXiv  Detail & Related papers  (2022-05-25T15:22:52Z)
• A Quantum Bayes' Rule and Related Inference [0.0]
  We propose a quantum analogue of Bayes' rule, which elaborates how a prior normal state updates under observations. It is noted that our theory not only retains the classical one as a special case but possesses many new features as well.
  arXiv  Detail & Related papers  (2022-04-19T12:19:40Z)
• Topological gauge theory for mixed Dirac stationary states in all dimensions [0.0]
  We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions. Key prerequisites are charge quantization and charge conservation.
  arXiv  Detail & Related papers  (2021-09-14T18:00:05Z)
• Entanglement renormalization for quantum fields with boundaries and defects [0.0]
  Multiscale Entanglement Renormalization Ansatz (cMERA) gives a variational wavefunctional for ground states of quantum field theoretic Hamiltonians. A cMERA is defined as the result of applying to a reference unentangled state a unitary evolution generated by a quasilocal operator, the entangler. Here we show how this generalization works, using the 1+1d free boson cMERA as a proof-of-principle example.
  arXiv  Detail & Related papers  (2021-03-12T18:59:23Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)
• General criteria for quantum state smoothing with necessary and sufficient criteria for linear Gaussian quantum systems [0.0]
  Quantum state smoothing is a technique for estimating the quantum state of a partially observed quantum system at time $tau$. This paper lists general criteria a smoothed quantum state should satisfy.
  arXiv  Detail & Related papers  (2020-02-12T04:39:42Z)

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.