Quantum complementarity
- URL: http://arxiv.org/abs/2510.10800v2
- Date: Wed, 15 Oct 2025 19:57:15 GMT
- Title: Quantum complementarity
- Authors: Davide Rolino, Paolo Perinotti, Alessandro Tosini,
- Abstract summary: Two properties of a system are considered complementary if they cannot be simultaneously well defined.<n>In quantum theory, this notion is equivalent to the incompatibility of operations -- that is, their inability to be performed simultaneously.
- Score: 41.99844472131922
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We propose an operational definition of complementarity, pinning down the concept originally introduced by Bohr. Two properties of a system are considered complementary if they cannot be simultaneously well defined. We further show that, within quantum theory, this notion is equivalent to the incompatibility of operations -- that is, their inability to be performed simultaneously.
Related papers
- No Absolute Hierarchy of Quantum Complementarity [0.0]
Bohr's principle of complementarity prohibits simultaneous access to certain physical properties within a single experimental arrangement.<n>We show that this hierarchy ceases to be absolute in the multi-copy regime.<n>We uncover a configuration-dependent structure of complementarity, reveal a subtle role of entanglement in shaping the structure of measurement limitations.
arXiv Detail & Related papers (2026-02-26T09:29:00Z) - Quantum complementarity: A novel resource for unambiguous exclusion and
encryption [0.0]
Complementarity is a phenomenon explaining several core features of quantum theory.
Although a key quantum feature, it is unclear whether complementarity can be understood more operationally.
We show this is the case, and relates to a novel task which we term $eta$-unambiguous exclusion.
arXiv Detail & Related papers (2023-09-21T10:49:49Z) - Step-by-step derivation of the algebraic structure of quantum mechanics
(or from nondisturbing to quantum correlations by connecting incompatible
observables) [0.0]
This paper provides a step-by-step derivation of the quantum formalism.
It helps us to understand why this formalism is as it is.
arXiv Detail & Related papers (2023-03-08T19:27:24Z) - Biorthogonal resource theory of genuine quantum superposition [0.0]
We introduce a pseudo-Hermitian representation of the density operator, wherein its diagonal elements correspond to biorthogonal extensions of Kirkwood-Dirac quasi-probabilities.
This representation provides a unified framework for the inter-basis quantum superposition and basis state indistinguishability, giving rise to what we term as textitgenuine quantum superposition.
arXiv Detail & Related papers (2022-10-05T17:17:37Z) - General framework of quantum complementarity from a measurement-based
perspective [6.073419957391949]
We develop a framework for demonstrating quantum complementarity in the form of information exclusion relations.
We explore the applications of our theory in entanglement witnessing and elucidate that our IERs lead to an extended form of entropic uncertainty relations.
arXiv Detail & Related papers (2022-10-03T14:20:52Z) - Non-standard entanglement structure of local unitary self-dual models as
a saturated situation of repeatability in general probabilistic theories [61.12008553173672]
We show the existence of infinite structures of quantum composite system such that it is self-dual with local unitary symmetry.
We also show the existence of a structure of quantum composite system such that non-orthogonal states in the structure are perfectly distinguishable.
arXiv Detail & Related papers (2021-11-29T23:37:58Z) - Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
Two particles are identical if all their intrinsic properties, such as spin and charge, are the same.
Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles.
We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
arXiv Detail & Related papers (2021-05-10T13:11:59Z) - Comment on "Strong Quantum Darwinism and Strong Independence are
Equivalent to Spectrum Broadcast Structure" [62.997667081978825]
We show that the mathematical formulation of condition (b) is necessary but not sufficient to ensure the equivalence.
We propose a simple counter-example, together with a strengthened formulation of condition (b)
arXiv Detail & Related papers (2021-01-21T16:06:25Z) - Self-adjointness in Quantum Mechanics: a pedagogical path [77.34726150561087]
This paper aims to make quantum observables emerge as necessarily self-adjoint, and not merely hermitian operators.
Next to the central core of our line of reasoning, the necessity of a non-trivial declaration of a domain to associate with the formal action of an observable.
arXiv Detail & Related papers (2020-12-28T21:19:33Z) - Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations.
We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z)
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.