Algorithmic Advances Towards a Realizable Quantum Lattice Boltzmann Method Article Swipe

PDF

Apurva Tiwari , Jason Iaconis , Jezer Jojo , Sayonee Ray , Martin Roetteler , Chris Hill , Jay Pathak ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2504.10870

The Quantum Lattice Boltzmann Method (QLBM) is one of the most promising approaches for realizing the potential of quantum computing in simulating computational fluid dynamics. Many recent works mostly focus on classical simulation, and rely on full state tomography. Several key algorithmic issues like observable readout, data encoding, and impractical circuit depth remain unsolved. As a result, these are not directly realizable on any quantum hardware. We present a series of novel algorithmic advances which allow us to implement the QLBM algorithm, for the first time, on a quantum computer. Hardware results for the time evolution of a 2D Gaussian initial density distribution subject to a uniform advection-diffusion field are presented. Furthermore, 3D simulation results are presented for particular non-uniform advection fields, devised so as to avoid the problem of diminishing probability of success due to repeated post-selection operations required for multiple timesteps. We demonstrate the evolution of an initial quantum state governed by the advection-diffusion equation, accounting for the iterative nature of the explicit QLBM algorithm. A tensor network encoding scheme is used to represent the initial condition supplied to the advection-diffusion equation, significantly reducing the two-qubit gate count affording a shorter circuit depth. Further reductions are made in the collision and streaming operators. Collectively, these advances give a path to realizing more practical, 2D and 3D QLBM applications with non-trivial velocity fields on quantum hardware.

Related Topics

Truth And Reconciliation Commission Of Canada

Alanis Morissette

Concepts

No concepts available.

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2504.10870
PDF: https://arxiv.org/pdf/2504.10870
OA Status: green
OpenAlex ID: https://openalex.org/W4414626359

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4414626359

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2504.10870

Digital Object Identifier
Title: Algorithmic Advances Towards a Realizable Quantum Lattice Boltzmann Method

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-04-15

Full publication date if available
Authors: Apurva Tiwari, Jason Iaconis, Jezer Jojo, Sayonee Ray, Martin Roetteler, Chris Hill, Jay Pathak

List of authors in order
Landing page: https://arxiv.org/abs/2504.10870

Publisher landing page
PDF URL: https://arxiv.org/pdf/2504.10870

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/2504.10870

Direct OA link when available
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W4414626359
doi	https://doi.org/10.48550/arxiv.2504.10870
ids.doi	https://doi.org/10.48550/arxiv.2504.10870
ids.openalex	https://openalex.org/W4414626359
fwci
type	preprint
title	Algorithmic Advances Towards a Realizable Quantum Lattice Boltzmann Method
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T11751
topics[0].field.id	https://openalex.org/fields/22
topics[0].field.display_name	Engineering
topics[0].score	0.9991000294685364
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2206
topics[0].subfield.display_name	Computational Mechanics
topics[0].display_name	Lattice Boltzmann Simulation Studies
topics[1].id	https://openalex.org/T10775
topics[1].field.id	https://openalex.org/fields/17
topics[1].field.display_name	Computer Science
topics[1].score	0.9516000151634216
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/1707
topics[1].subfield.display_name	Computer Vision and Pattern Recognition
topics[1].display_name	Generative Adversarial Networks and Image Synthesis
topics[2].id	https://openalex.org/T10688
topics[2].field.id	https://openalex.org/fields/17
topics[2].field.display_name	Computer Science
topics[2].score	0.9449999928474426
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/1707
topics[2].subfield.display_name	Computer Vision and Pattern Recognition
topics[2].display_name	Image and Signal Denoising Methods
is_xpac	False
apc_list
apc_paid
language	en
locations[0].id	pmh:oai:arXiv.org:2504.10870
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-nc-nd
locations[0].pdf_url	https://arxiv.org/pdf/2504.10870
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id	https://openalex.org/licenses/cc-by-nc-nd
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2504.10870
locations[1].id	doi:10.48550/arxiv.2504.10870
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
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id
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.2504.10870
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5073982847
authorships[0].author.orcid
authorships[0].author.display_name	Apurva Tiwari
authorships[0].author_position	first
authorships[0].raw_author_name	Tiwari, Apurva
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5046404478
authorships[1].author.orcid	https://orcid.org/0000-0002-8010-746X
authorships[1].author.display_name	Jason Iaconis
authorships[1].author_position	middle
authorships[1].raw_author_name	Iaconis, Jason
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5091957410
authorships[2].author.orcid	https://orcid.org/0009-0004-1428-8882
authorships[2].author.display_name	Jezer Jojo
authorships[2].author_position	middle
authorships[2].raw_author_name	Jojo, Jezer
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5102858311
authorships[3].author.orcid	https://orcid.org/0000-0002-8737-4499
authorships[3].author.display_name	Sayonee Ray
authorships[3].author_position	middle
authorships[3].raw_author_name	Ray, Sayonee
authorships[3].is_corresponding	False
authorships[4].author.id	https://openalex.org/A5040193392
authorships[4].author.orcid	https://orcid.org/0000-0003-0234-2496
authorships[4].author.display_name	Martin Roetteler
authorships[4].author_position	middle
authorships[4].raw_author_name	Roetteler, Martin
authorships[4].is_corresponding	False
authorships[5].author.id	https://openalex.org/A5027085806
authorships[5].author.orcid	https://orcid.org/0000-0002-6914-4411
authorships[5].author.display_name	Chris Hill
authorships[5].author_position	middle
authorships[5].raw_author_name	Hill, Chris
authorships[5].is_corresponding	False
authorships[6].author.id	https://openalex.org/A5055150226
authorships[6].author.orcid	https://orcid.org/0000-0003-2387-6809
authorships[6].author.display_name	Jay Pathak
authorships[6].author_position	last
authorships[6].raw_author_name	Pathak, Jay
authorships[6].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/2504.10870
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Algorithmic Advances Towards a Realizable Quantum Lattice Boltzmann Method
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T11751
primary_topic.field.id	https://openalex.org/fields/22
primary_topic.field.display_name	Engineering
primary_topic.score	0.9991000294685364
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2206
primary_topic.subfield.display_name	Computational Mechanics
primary_topic.display_name	Lattice Boltzmann Simulation Studies
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2504.10870
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-nc-nd
best_oa_location.pdf_url	https://arxiv.org/pdf/2504.10870
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id	https://openalex.org/licenses/cc-by-nc-nd
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/2504.10870
primary_location.id	pmh:oai:arXiv.org:2504.10870
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-nc-nd
primary_location.pdf_url	https://arxiv.org/pdf/2504.10870
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id	https://openalex.org/licenses/cc-by-nc-nd
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2504.10870
publication_date	2025-04-15
publication_year	2025
referenced_works_count	0
abstract_inverted_index.A	167
abstract_inverted_index.a	55, 68, 87, 97, 105, 191, 209
abstract_inverted_index.2D	98, 215
abstract_inverted_index.3D	112, 217
abstract_inverted_index.As	54
abstract_inverted_index.We	66, 143
abstract_inverted_index.an	148
abstract_inverted_index.as	124
abstract_inverted_index.by	153
abstract_inverted_index.in	20, 199
abstract_inverted_index.is	6, 172
abstract_inverted_index.of	8, 17, 70, 96, 129, 132, 147, 162
abstract_inverted_index.on	30, 35, 62, 86, 224
abstract_inverted_index.so	123
abstract_inverted_index.to	77, 104, 125, 135, 174, 180, 211
abstract_inverted_index.us	76
abstract_inverted_index.The	0
abstract_inverted_index.and	33, 48, 202, 216
abstract_inverted_index.any	63
abstract_inverted_index.are	58, 109, 115, 197
abstract_inverted_index.due	134
abstract_inverted_index.for	13, 82, 92, 117, 140, 158
abstract_inverted_index.key	40
abstract_inverted_index.not	59
abstract_inverted_index.one	7
abstract_inverted_index.the	9, 15, 79, 83, 93, 127, 145, 154, 159, 163, 176, 181, 186, 200
abstract_inverted_index.Many	25
abstract_inverted_index.QLBM	80, 165, 218
abstract_inverted_index.data	46
abstract_inverted_index.full	36
abstract_inverted_index.gate	188
abstract_inverted_index.give	208
abstract_inverted_index.like	43
abstract_inverted_index.made	198
abstract_inverted_index.more	213
abstract_inverted_index.most	10
abstract_inverted_index.path	210
abstract_inverted_index.rely	34
abstract_inverted_index.time	94
abstract_inverted_index.used	173
abstract_inverted_index.with	220
abstract_inverted_index.allow	75
abstract_inverted_index.avoid	126
abstract_inverted_index.count	189
abstract_inverted_index.depth	51
abstract_inverted_index.field	108
abstract_inverted_index.first	84
abstract_inverted_index.fluid	23
abstract_inverted_index.focus	29
abstract_inverted_index.novel	71
abstract_inverted_index.state	37, 151
abstract_inverted_index.these	57, 206
abstract_inverted_index.time,	85
abstract_inverted_index.which	74
abstract_inverted_index.works	27
abstract_inverted_index.(QLBM)	5
abstract_inverted_index.Method	4
abstract_inverted_index.depth.	194
abstract_inverted_index.fields	223
abstract_inverted_index.issues	42
abstract_inverted_index.mostly	28
abstract_inverted_index.nature	161
abstract_inverted_index.recent	26
abstract_inverted_index.remain	52
abstract_inverted_index.scheme	171
abstract_inverted_index.series	69
abstract_inverted_index.tensor	168
abstract_inverted_index.Further	195
abstract_inverted_index.Lattice	2
abstract_inverted_index.Quantum	1
abstract_inverted_index.Several	39
abstract_inverted_index.circuit	50, 193
abstract_inverted_index.density	101
abstract_inverted_index.devised	122
abstract_inverted_index.fields,	121
abstract_inverted_index.initial	100, 149, 177
abstract_inverted_index.network	169
abstract_inverted_index.present	67
abstract_inverted_index.problem	128
abstract_inverted_index.quantum	18, 64, 88, 150, 225
abstract_inverted_index.result,	56
abstract_inverted_index.results	91, 114
abstract_inverted_index.shorter	192
abstract_inverted_index.subject	103
abstract_inverted_index.success	133
abstract_inverted_index.uniform	106
abstract_inverted_index.Gaussian	99
abstract_inverted_index.Hardware	90
abstract_inverted_index.advances	73, 207
abstract_inverted_index.directly	60
abstract_inverted_index.encoding	170
abstract_inverted_index.explicit	164
abstract_inverted_index.governed	152
abstract_inverted_index.multiple	141
abstract_inverted_index.readout,	45
abstract_inverted_index.reducing	185
abstract_inverted_index.repeated	136
abstract_inverted_index.required	139
abstract_inverted_index.supplied	179
abstract_inverted_index.velocity	222
abstract_inverted_index.Boltzmann	3
abstract_inverted_index.advection	120
abstract_inverted_index.affording	190
abstract_inverted_index.classical	31
abstract_inverted_index.collision	201
abstract_inverted_index.computer.	89
abstract_inverted_index.computing	19
abstract_inverted_index.condition	178
abstract_inverted_index.dynamics.	24
abstract_inverted_index.encoding,	47
abstract_inverted_index.equation,	156, 183
abstract_inverted_index.evolution	95, 146
abstract_inverted_index.hardware.	65, 226
abstract_inverted_index.implement	78
abstract_inverted_index.iterative	160
abstract_inverted_index.potential	16
abstract_inverted_index.presented	116
abstract_inverted_index.promising	11
abstract_inverted_index.realizing	14, 212
abstract_inverted_index.represent	175
abstract_inverted_index.streaming	203
abstract_inverted_index.two-qubit	187
abstract_inverted_index.unsolved.	53
abstract_inverted_index.accounting	157
abstract_inverted_index.algorithm,	81
abstract_inverted_index.algorithm.	166
abstract_inverted_index.approaches	12
abstract_inverted_index.observable	44
abstract_inverted_index.operations	138
abstract_inverted_index.operators.	204
abstract_inverted_index.particular	118
abstract_inverted_index.practical,	214
abstract_inverted_index.presented.	110
abstract_inverted_index.realizable	61
abstract_inverted_index.reductions	196
abstract_inverted_index.simulating	21
abstract_inverted_index.simulation	113
abstract_inverted_index.timesteps.	142
abstract_inverted_index.algorithmic	41, 72
abstract_inverted_index.demonstrate	144
abstract_inverted_index.diminishing	130
abstract_inverted_index.impractical	49
abstract_inverted_index.non-trivial	221
abstract_inverted_index.non-uniform	119
abstract_inverted_index.probability	131
abstract_inverted_index.simulation,	32
abstract_inverted_index.tomography.	38
abstract_inverted_index.Furthermore,	111
abstract_inverted_index.applications	219
abstract_inverted_index.distribution	102
abstract_inverted_index.Collectively,	205
abstract_inverted_index.computational	22
abstract_inverted_index.significantly	184
abstract_inverted_index.post-selection	137
abstract_inverted_index.advection-diffusion	107, 155, 182
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	7
citation_normalized_percentile