An objective collapse model without state dependent stochasticity
- URL: http://arxiv.org/abs/2208.11584v1
- Date: Wed, 24 Aug 2022 14:46:39 GMT
- Title: An objective collapse model without state dependent stochasticity
- Authors: Lotte Mertens, Matthijs Wesseling and Jasper van Wezel
- Abstract summary: We present a minimal model for an objective collapse theory that does not employ state dependent terms in its construction.
It is an explicit proof of principle that it is possible for Born's rule to emerge from an evolution in which no properties of the process depend on the state being evolved.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: The impossibility of describing measurement in quantum mechanics while using
a quantum mechanical model for the measurement machine, remains one of its
central problems. Objective collapse theories attempt to resolve this problem
by proposing alterations to Schrodinger's equation. Here, we present a minimal
model for an objective collapse theory that, in contrast to previous proposals,
does not employ state dependent stochastic terms in its construction. It is an
explicit proof of principle that it is possible for Born's rule to emerge from
a stochastic evolution in which no properties of the stochastic process depend
on the state being evolved. We propose the presented model as a basis from
which more realistic objective collapse theories can be constructed.
Related papers
- Semiclassical gravity phenomenology under the causal-conditional quantum measurement prescription II: Heisenberg picture and apparent optical entanglement [13.04737397490371]
In quantum gravity theory, a state-dependent gravitational potential introduces nonlinearity into the state evolution.
The formalism for understanding the continuous quantum measurement process on the quantum state has been previously discussed using the Schr"odinger picture.
In this work, an equivalent formalism using the Heisenberg picture is developed and applied to the analysis of two optomechanical experiment protocols.
arXiv Detail & Related papers (2024-11-08T14:07:18Z) - 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) - Spontaneous localisation from a coarse-grained deterministic and
non-unitary dynamics [0.0]
Collapse of the wave function appears to violate the quantum superposition principle as well as deterministic evolution.
Objective collapse models propose a dynamical explanation for this phenomenon, by making a non-unitary and norm-preserving modification to the Schr"odinger equation.
arXiv Detail & Related papers (2023-05-11T10:32:23Z) - Quantum Theory Needs (And Probably Has) Real Reduction [0.0]
It appears that for quantum theory to be viable in a realist sense, it must possess genuine, physical non-unitarity.
Penrose's theory of gravitation-induced collapse and the Transactional Interpretation are discussed.
arXiv Detail & Related papers (2023-04-20T21:25:23Z) - Functional analytic insights into irreversibility of quantum resources [8.37609145576126]
Quantum channels which preserve certain sets of states are contractive with respect to the base norms induced by those sets.
We show that there exist qutrit magic states that cannot be reversibly interconverted under stabiliser protocols.
arXiv Detail & Related papers (2022-11-28T19:00:00Z) - Quantum realism: axiomatization and quantification [77.34726150561087]
We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory.
We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
arXiv Detail & Related papers (2021-10-10T18:08:42Z) - The inconsistency of linear dynamics and Born's rule [0.0]
We show that requiring the emergence of Born's rule for relative frequencies of measurement outcomes without imposing them as part of any axiom implies that objective collapse theories cannot be linear.
Previous suggestions for a proof of the emergence of Born's rule in classes of problems that include linear objective collapse theories are analysed and shown to include hidden assumptions.
arXiv Detail & Related papers (2021-06-18T13:57:20Z) - 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) - Emergence of Constructor-based Irreversibility in Quantum Systems:
Theory and Experiment [0.0]
We show that irreversibility in a universe with time-reversal-symmetric laws is compatible with quantum theory's time reversal symmetric laws.
We exploit a specific model, based on the universal quantum homogeniser, realised experimentally with high-quality single-photon qubits.
arXiv Detail & Related papers (2020-09-30T12:57:39Z) - Estimation independence as an axiom for quantum uncertainty [0.0]
We show that a plausible principle of estimation independence, which requires that the estimation of momentum of one system must be independent of the position of another system, singles out the specific forms of the estimator.
arXiv Detail & Related papers (2020-05-12T07:12:17Z) - Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality.
This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment.
It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
arXiv Detail & Related papers (2020-02-27T15:04:08Z)
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.