Literature Search

Riemannian geometry and automatic differentiation for optimization problems of quantum physics and quantum technologies

#1

Ilia A. Luchnikov
(
- Moscow, MIPT and
- Skoltech and
- Russian Quantum Ctr., Moscow
)
,
Mikhail E. Krechetov
(
- Skoltech
)
,
Sergey N. Filippov
(
- Moscow, MIPT and
- Steklov Math. Inst., Moscow and
- Moscow, INR
)

(Jul 2, 2020)

Published in:
- New J.Phys. 23 (2021) 073006
•
e-Print:
- 2007.01287 [quant-ph]

pdfDOI

reference search41 citations

Variational Optimization of Continuous Matrix Product States

#2

(Jun 2, 2020)

Published in:
- Phys.Rev.Lett. 128 (2022) 2, 020501
•
e-Print:
- 2006.01801 [quant-ph]

pdfDOI

reference search12 citations

Geometry of variational methods: dynamics of closed quantum systems

#3

et al.

(Apr 2, 2020)

Published in:
- SciPost Phys. 9 (2020) 4, 048
•
e-Print:
- 2004.01015 [quant-ph]

DOI

reference search73 citations

Parallel quantum simulation of large systems on small NISQ computers

#4

Fergus Barratt
(
- King's Coll. London, Dept. Math
)
,
James Dborin
(
- University Coll. London
)
,
Matthias Bal
(
- Northeastern U.
)
,
Vid Stojevic
(
- Northeastern U.
)
,
Frank Pollmann
(
- Munich, Tech. U.
)

et al.

(Mar 26, 2020)

Published in:
- npj Quantum Inf. 7 (2021) 79
•
e-Print:
- 2003.12087 [quant-ph]

DOI

reference search96 citations

Isometric tensor network representation of string-net liquids

#5

et al.

(Feb 12, 2020)

Published in:
- Phys.Rev.B 101 (2020) 8, 085117

DOI

reference search39 citations

Isometric Tensor Network States in Two Dimensions

#6

(Jan 24, 2020)

Published in:
- Phys.Rev.Lett. 124 (2020) 3, 037201

DOI

reference search107 citations

Quantum Natural Gradient

#7

James Stokes
(
- Flatiron Inst., New York
)
,
Josh Izaac
(
- Xanadu Quant. Tech.
)
,
Nathan Killoran
(
- Xanadu Quant. Tech.
)
,
Giuseppe Carleo
(
- Flatiron Inst., New York
)

(Sep 4, 2019)

Published in:
- Quantum 4 (2020) 269
•
e-Print:
- 1909.02108 [quant-ph]

pdfDOI

reference search375 citations

Tangent-space methods for uniform matrix product states

#8

(Jan 15, 2019)

Published in:
- SciPost Phys.Lect.Notes 7 (2019) 1
•
e-Print:
- 1810.07006

DOI

reference search121 citations

Theory of variational quantum simulation

#9

(Dec 20, 2018)

Published in:
- Quantum 3 (2019) 191
•
e-Print:
- 1812.08767 [quant-ph]

pdfDOI

reference search414 citations

Variational optimization algorithms for uniform matrix product states

#10

(Jan 24, 2017)

Published in:
- Phys.Rev.B 97 (2018) 4, 045145
•
e-Print:
- 1701.07035 [quant-ph]

pdfDOI

reference search171 citations

Efficient Variational Quantum Simulator Incorporating Active Error Minimization

#11

Ying Li
(
- U. Oxford (main)
)
,
Simon C. Benjamin
(
- U. Oxford (main)
)

(Nov 28, 2016)

Published in:
- Phys.Rev.X 7 (2017) 2, 021050
•
e-Print:
- 1611.09301 [quant-ph]

pdfDOI

reference search807 citations

Continuous Matrix Product States for Quantum Fields: an Energy Minimization Algorithm

#12

(Nov 11, 2016)

Published in:
- Phys.Rev.Lett. 118 (2017) 22, 220402
•
e-Print:
- 1611.03779 [cond-mat.str-el]

pdfDOI

reference search30 citations

Gradient methods for variational optimization of projected entangled-pair states

#13

(Jun 29, 2016)

Published in:
- Phys.Rev.B 94 (2016) 15, 155123
•
e-Print:
- 1606.09170 [cond-mat.str-el]

pdfDOI

reference search122 citations

Supervised Learning with Quantum-Inspired Tensor Networks

#14

E. Miles Stoudenmire
(
- Perimeter Inst. Theor. Phys. and
- UC, Irvine
)
,
David J. Schwab
(
- Northwestern U.
)

(May 18, 2016)

e-Print:
- 1605.05775 [stat.ML]

pdf

reference search70 citations

Tensor Network Renormalization

#15

(Oct 29, 2015)

Published in:
- Phys.Rev.Lett. 115 (2015) 18, 180405

DOI

reference search298 citations

Julia: A Fresh Approach to Numerical Computing

#16

(Nov 6, 2014)

Published in:
- SIAM Rev. 59 (2017) 1, 65-98
•
e-Print:
- 1411.1607 [cs.MS]

pdfDOI

reference search472 citations

A variational eigenvalue solver on a photonic quantum processor

#17

Alberto Peruzzo
(
- Bristol U.
)
,
Jarrod McClean
(
- Harvard U. (main)
)
,
Peter Shadbolt
(
- Bristol U.
)
,
Man-Hong Yung
(
- Harvard U. (main) and
- Tsinghua U., Beijing
)
,
Xiao-Qi Zhou
(
- Bristol U.
)

et al.

(Apr 10, 2013)

Published in:
- Nature Commun. 5 (2014) 1, 4213
•
e-Print:
- 1304.3061 [quant-ph]

pdfDOI

reference search2,850 citations

Matrix product states and variational methods applied to critical quantum field theory

#18

Ashley Milsted
(
- Leibniz U., Hannover
)
,
Jutho Haegeman
(
- Vienna U. and
- Gent U.
)
,
Tobias J. Osborne
(
- Leibniz U., Hannover
)

(Feb 22, 2013)

Published in:
- Phys.Rev.D 88 (2013) 085030
•
e-Print:
- 1302.5582 [hep-lat]

pdfDOI

reference search85 citations

Geometry of matrix product states: Metric, parallel transport, and curvature

#19

(Oct 29, 2012)

Published in:
- J.Math.Phys. 55 (2014) 021902
•
e-Print:
- 1210.7710 [quant-ph]

pdfDOI

reference search52 citations

Multigrid Algorithms for Tensor Network States

#20

Michele Dolfi
(
- Zurich, ETH
)
,
Bela Bauer
(
- Station Q, UCSB
)
,
Matthias Troyer
(
- Zurich, ETH
)
,
Zoran Ristivojevic
(
- Ecole Normale Superieure
)

(Jul 13, 2012)

Published in:
- Phys.Rev.Lett. 109 (2012) 020604
•
e-Print:
- 1203.6363 [cond-mat.quant-gas]

pdfDOI

reference search16 citations

Quantum Criticality with the Multi-scale Entanglement Renormalization Ansatz

#21

(Sep 25, 2011)

e-Print:
- 1109.5334 [quant-ph]

pdf

reference search55 citations

Time-Dependent Variational Principle for Quantum Lattices

#22

Jutho Haegeman
(
- Gent U.
)
,
J.Ignacio Cirac
(
- Hannover, Max Planck Inst. Quantenopt.
)
,
Tobias J. Osborne
(
- Leibniz U., Hannover and
- Hannover U.
)
,
Iztok Pizorn
(
- Vienna U.
)
,
Henri Verschelde
(
- Gent U.
)

et al.

(Aug, 2011)

Published in:
- Phys.Rev.Lett. 107 (2011) 070601
•
e-Print:
- 1103.0936 [cond-mat.str-el]

pdfDOI

reference search491 citations

Variational matrix product ansatz for dispersion relations

#23

et al.

(Mar 11, 2011)

Published in:
- Phys.Rev.B 85 (2012) 10, 100408
•
e-Print:
- 1103.2286 [quant-ph]

pdfDOI

reference search96 citations

Tensor-Train Decomposition

#24

I.V. Oseledets

(Jan, 2011)

Published in:
- SIAM J.Sci.Comput. 33 (2011) 5, 2295-2317

DOI

reference search188 citations

The density-matrix renormalization group in the age of matrix product states

#25

Ulrich Schollwoeck

(Aug 20, 2010)

Published in:
- Annals Phys. 326 (2011) 96-192
•
e-Print:
- 1008.3477 [cond-mat.str-el]

pdfDOI

reference search2,317 citations

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