Coherence resource power of isocoherent states

We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder....

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Autores principales: Losada, Marcelo, Bosyk, Gustavo Martín, Freytes, Hector, Sergioli, Giuseppe
Formato: Articulo
Lenguaje:Inglés
Publicado: 2022
Materias:
Física
Quantum information
Quantum mechanics
Qubits
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/154821
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-154821
record_format dspace
spelling I19-R120-10915-1548212023-06-30T04:07:00Z http://sedici.unlp.edu.ar/handle/10915/154821 issn:2045-2322 Coherence resource power of isocoherent states Losada, Marcelo Bosyk, Gustavo Martín Freytes, Hector Sergioli, Giuseppe 2022 2023-06-29T16:32:44Z en Física Quantum information Quantum mechanics Qubits We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum information
Quantum mechanics
Qubits
spellingShingle Física
Quantum information
Quantum mechanics
Qubits
Losada, Marcelo
Bosyk, Gustavo Martín
Freytes, Hector
Sergioli, Giuseppe
Coherence resource power of isocoherent states
topic_facet Física
Quantum information
Quantum mechanics
Qubits
description We address the problem of comparing quantum states with the same amount of coherence in terms of their coherence resource power given by the preorder of incoherent operations. For any coherence measure, two states with null or maximum value of coherence are equivalent with respect to that preorder. This is no longer true for intermediate values of coherence when pure states of quantum systems with dimension greater than two are considered. In particular, we show that, for any value of coherence (except the extreme values, zero and the maximum), there are infinite incomparable pure states with that value of coherence. These results are not peculiarities of a given coherence measure, but common properties of every well-behaved coherence measure. Furthermore, we show that for qubit mixed states there exist coherence measures, such as the relative entropy of coherence, that admit incomparable isocoherent states.
format Articulo
Articulo
author Losada, Marcelo
Bosyk, Gustavo Martín
Freytes, Hector
Sergioli, Giuseppe
author_facet Losada, Marcelo
Bosyk, Gustavo Martín
Freytes, Hector
Sergioli, Giuseppe
author_sort Losada, Marcelo
title Coherence resource power of isocoherent states
title_short Coherence resource power of isocoherent states
title_full Coherence resource power of isocoherent states
title_fullStr Coherence resource power of isocoherent states
title_full_unstemmed Coherence resource power of isocoherent states
title_sort coherence resource power of isocoherent states
publishDate 2022
url http://sedici.unlp.edu.ar/handle/10915/154821
work_keys_str_mv AT losadamarcelo coherenceresourcepowerofisocoherentstates
AT bosykgustavomartin coherenceresourcepowerofisocoherentstates
AT freyteshector coherenceresourcepowerofisocoherentstates
AT sergioligiuseppe coherenceresourcepowerofisocoherentstates
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