Quantum probabilities for the causal ordering of events
- URL: http://arxiv.org/abs/2309.09541v1
- Date: Mon, 18 Sep 2023 07:36:48 GMT
- Title: Quantum probabilities for the causal ordering of events
- Authors: Charis Anastopoulos and Maria_Electra Plakitsi
- Abstract summary: We develop a new formalism for constructing probabilities associated to the causal ordering of events in quantum theory.
We show how these notions generalize to quantum systems, where there exists no fundamental notion of trajectory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We develop a new formalism for constructing probabilities associated to the
causal ordering of events in quantum theory, where by an event we mean the
emergence of a measurement record on a detector. We start with constructing
probabilities for the causal ordering events in classical physics, where events
are defined in terms of worldline coincidences. Then, we show how these notions
generalize to quantum systems, where there exists no fundamental notion of
trajectory. The probabilities constructed here are experimentally accessible,
at least in principle. Our analysis here clarifies that the existence of
quantum orderings of events does not require quantum gravity effects: it is a
consequence of the quantum dynamics of matter, and it appears in presence of a
fixed background spacetime.
Related papers
- Entropy production due to spacetime fluctuations [0.0]
We consider a non-relativistic quantum system interacting with gravitational waves.
We employ the consistent histories approach to quantum mechanics to define a fluctuation relation for this system.
As a result, thermodynamic entropy must be produced in the system due to its unavoidable interaction with the quantum fluctuations of spacetime.
arXiv Detail & Related papers (2024-07-30T20:52:32Z) - What an event is not: unravelling the identity of events in quantum theory and gravity [0.0]
We explore the notion of events at the intersection between quantum physics and gravity.
By going through various experiments and thought experiments, we analyse which properties can and cannot be used to define events in such non-classical contexts.
arXiv Detail & Related papers (2024-03-29T21:22:16Z) - Quantum Relativity [0.0]
A new quantum postulate is suggested to restore classical locality and causality to quantum physics.
This postulate supports the EPR view that quantum mechanics is incomplete, while also staying compatible to the Bohr view that nothing exists beyond the quantum.
arXiv Detail & Related papers (2023-02-04T02:05:25Z) - Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system.
An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z) - Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
Quantization smears the gravitational singularity avoiding its localization in the configuration space.
Results suggest that the generic singularity of general relativity can be avoided at quantum level.
arXiv Detail & Related papers (2022-04-24T13:32:45Z) - Efficient Distinction between Quantum Direct and Common Causes and its
Experimental Verification [15.082156478846654]
We introduce a quantity named Causal Determinant' to efficiently identify the quantum causal structures between two quantum systems.
According to the causal determinant, the quantum direct cause imposed by an arbitrary unitary operator can be perfectly discriminated with the quantum common cause.
arXiv Detail & Related papers (2022-03-05T14:12:37Z) - No-signalling constrains quantum computation with indefinite causal
structure [45.279573215172285]
We develop a formalism for quantum computation with indefinite causal structures.
We characterize the computational structure of higher order quantum maps.
We prove that these rules, which have a computational and information-theoretic nature, are determined by the more physical notion of the signalling relations between the quantum systems.
arXiv Detail & Related papers (2022-02-21T13:43:50Z) - The de Broglie-Bohm Quantum Theory and its Application to Quantum
Cosmology [0.0]
We review the de Broglie-Bohm quantum theory.
It is an alternative description of quantum phenomena in accordance with all the quantum experiments already performed.
arXiv Detail & Related papers (2021-11-04T17:59:20Z) - The quantum condition space [0.0]
We introduce the concept of the condition space, which is found to be the dual space of the classical outcome space of bit strings.
The quantum condition space permits the existence of entangled conditions that have no classical equivalent.
The relation between the condition space and quantum circuits provides insights into how quantum states are collectively modified by quantum gates.
arXiv Detail & Related papers (2021-07-12T20:11:51Z) - Quantum Causal Inference in the Presence of Hidden Common Causes: an
Entropic Approach [34.77250498401055]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
arXiv Detail & Related papers (2021-04-24T22:45:50Z) - Quantum Entropic Causal Inference [30.939150842529052]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
arXiv Detail & Related papers (2021-02-23T15:51:34Z)
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.