Measuring Rényi entropy using a projected Loschmidt echo Article Swipe

PDF

Yi-Neng Zhou , Robin Löwenberg , Julian Sonner ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2504.05237

We present efficient and practical protocols to measure the second Rényi entropy (RE), whose exponential is known as the purity. We achieve this by establishing a direct connection to a Loschmidt echo (LE) type measurement sequence, applicable to quantum many-body systems. Notably, our approach does not rely on random-noise averaging, a feature that can be extended to protocols to measure out-of-time-order correlation functions (OTOCs), as we demonstrate. By way of example, we show that our protocols can be practically implemented in superconducting qubit-based platforms, as well as in cavity-QED trapped ultra-cold gases.

Related Topics

Concepts

No concepts available.

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2504.05237
PDF: https://arxiv.org/pdf/2504.05237
OA Status: green
OpenAlex ID: https://openalex.org/W4416118821

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4416118821

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2504.05237

Digital Object Identifier
Title: Measuring Rényi entropy using a projected Loschmidt echo

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-04-07

Full publication date if available
Authors: Yi-Neng Zhou, Robin Löwenberg, Julian Sonner

List of authors in order
Landing page: https://arxiv.org/abs/2504.05237

Publisher landing page
PDF URL: https://arxiv.org/pdf/2504.05237

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2504.05237

Direct OA link when available
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W4416118821
doi	https://doi.org/10.48550/arxiv.2504.05237
ids.doi	https://doi.org/10.48550/arxiv.2504.05237
ids.openalex	https://openalex.org/W4416118821
fwci
type	preprint
title	Measuring Rényi entropy using a projected Loschmidt echo
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
is_xpac	False
apc_list
apc_paid
language	en
locations[0].id	pmh:oai:arXiv.org:2504.05237
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license	cc-by
locations[0].pdf_url	https://arxiv.org/pdf/2504.05237
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2504.05237
locations[1].id	doi:10.48550/arxiv.2504.05237
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license	cc-by
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id	https://openalex.org/licenses/cc-by
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2504.05237
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5071972195
authorships[0].author.orcid	https://orcid.org/0000-0003-1690-4787
authorships[0].author.display_name	Yi-Neng Zhou
authorships[0].author_position	first
authorships[0].raw_author_name	Zhou, Yi-Neng
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5120344725
authorships[1].author.orcid
authorships[1].author.display_name	Robin Löwenberg
authorships[1].author_position	middle
authorships[1].raw_author_name	Löwenberg, Robin
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5082868104
authorships[2].author.orcid	https://orcid.org/0000-0002-6179-1729
authorships[2].author.display_name	Julian Sonner
authorships[2].author_position	last
authorships[2].raw_author_name	Sonner, Julian
authorships[2].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2504.05237
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Measuring Rényi entropy using a projected Loschmidt echo
has_fulltext	False
is_retracted	False
updated_date	2025-11-28T05:34:24.152308
primary_topic
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2504.05237
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license	cc-by
best_oa_location.pdf_url	https://arxiv.org/pdf/2504.05237
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2504.05237
primary_location.id	pmh:oai:arXiv.org:2504.05237
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license	cc-by
primary_location.pdf_url	https://arxiv.org/pdf/2504.05237
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2504.05237
publication_date	2025-04-07
publication_year	2025
referenced_works_count	0
abstract_inverted_index.a	25, 29, 50
abstract_inverted_index.By	67
abstract_inverted_index.We	0, 20
abstract_inverted_index.as	17, 64, 84, 86
abstract_inverted_index.be	54, 77
abstract_inverted_index.by	23
abstract_inverted_index.in	80, 87
abstract_inverted_index.is	15
abstract_inverted_index.of	69
abstract_inverted_index.on	47
abstract_inverted_index.to	6, 28, 37, 56, 58
abstract_inverted_index.we	65, 71
abstract_inverted_index.and	3
abstract_inverted_index.can	53, 76
abstract_inverted_index.not	45
abstract_inverted_index.our	42, 74
abstract_inverted_index.the	8, 18
abstract_inverted_index.way	68
abstract_inverted_index.(LE)	32
abstract_inverted_index.does	44
abstract_inverted_index.echo	31
abstract_inverted_index.rely	46
abstract_inverted_index.show	72
abstract_inverted_index.that	52, 73
abstract_inverted_index.this	22
abstract_inverted_index.type	33
abstract_inverted_index.well	85
abstract_inverted_index.(RE),	12
abstract_inverted_index.known	16
abstract_inverted_index.whose	13
abstract_inverted_index.Rényi	10
abstract_inverted_index.direct	26
abstract_inverted_index.gases.	91
abstract_inverted_index.second	9
abstract_inverted_index.achieve	21
abstract_inverted_index.entropy	11
abstract_inverted_index.feature	51
abstract_inverted_index.measure	7, 59
abstract_inverted_index.present	1
abstract_inverted_index.purity.	19
abstract_inverted_index.quantum	38
abstract_inverted_index.trapped	89
abstract_inverted_index.(OTOCs),	63
abstract_inverted_index.Notably,	41
abstract_inverted_index.approach	43
abstract_inverted_index.example,	70
abstract_inverted_index.extended	55
abstract_inverted_index.systems.	40
abstract_inverted_index.Loschmidt	30
abstract_inverted_index.efficient	2
abstract_inverted_index.functions	62
abstract_inverted_index.many-body	39
abstract_inverted_index.practical	4
abstract_inverted_index.protocols	5, 57, 75
abstract_inverted_index.sequence,	35
abstract_inverted_index.applicable	36
abstract_inverted_index.averaging,	49
abstract_inverted_index.cavity-QED	88
abstract_inverted_index.connection	27
abstract_inverted_index.platforms,	83
abstract_inverted_index.ultra-cold	90
abstract_inverted_index.correlation	61
abstract_inverted_index.exponential	14
abstract_inverted_index.implemented	79
abstract_inverted_index.measurement	34
abstract_inverted_index.practically	78
abstract_inverted_index.qubit-based	82
abstract_inverted_index.demonstrate.	66
abstract_inverted_index.establishing	24
abstract_inverted_index.random-noise	48
abstract_inverted_index.superconducting	81
abstract_inverted_index.out-of-time-order	60
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	3
citation_normalized_percentile