David Gross

Benchmarking of quantum and classical SDP relaxations for QUBO formulations of real-world logistics problems

#1

et al.

(Mar 13, 2025)

e-Print:
- 2503.10801 [math.OC]

pdf

reference search0 citations

Solving quadratic binary optimization problems using quantum SDP methods: Non-asymptotic running time analysis

#2

Fabian Henze
(
- Cologne U.
)
,
Viet Tran
(
- Linz U.
)
,
Birte Ostermann
(
- Braunschweig, Phys. Tech. Bund.
)
,
Richard Kueng
(
- Linz U.
)
,
Timo de Wolff
(
- Braunschweig, Phys. Tech. Bund.
)

et al.

(Feb 21, 2025)

e-Print:
- 2502.15426 [quant-ph]

pdf

reference search0 citations

Wigner’s theorem for stabilizer states and quantum designs

#3

Valentin Obst
(
- Unlisted, DE and
- Cologne U.
)
,
Arne Heimendahl
(
- Cologne U.
)
,
Tanmay Singal
(
- Cologne U.
)
,
David Gross
(
- Cologne U.
)

(May 27, 2024)

Published in:
- J.Math.Phys. 65 (2024) 11, 112202
•
e-Print:
- 2405.17565 [quant-ph]

pdfDOI

reference search3 citations

Runtime-coherence trade-offs for hybrid SAT-solvers

#4

(Apr 23, 2024)

e-Print:
- 2404.15235 [quant-ph]

pdf

reference search0 citations

Secret extraction attacks against obfuscated IQP circuits

#5

David Gross
(
- Cologne U.
)
,
Dominik Hangleiter
(
- Maryland U., College Park and
- Maryland U.
)

(Dec 15, 2023)

e-Print:
- 2312.10156 [quant-ph]

pdf

reference search3 citations

Realistic Runtime Analysis for Quantum Simplex Computation

#6

et al.

(Nov 16, 2023)

e-Print:
- 2311.09995 [quant-ph]

pdf

reference search3 citations

The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario

#7

(Dec 21, 2022)

Published in:
- J.Math.Phys. 64 (2023) 7, 072201
•
e-Print:
- 2212.11299 [quant-ph]

pdfDOI

reference search12 citations

Duality theory for Clifford tensor powers

#8

Felipe Montealegre-Mora
(
- Cologne U.
)
,
David Gross
(
- Cologne U.
)

(Aug 2, 2022)

e-Print:
- 2208.01688 [quant-ph]

pdf

reference search5 citations

Minimising statistical errors in calibration of quantum-gate sets

#9

(Jun 7, 2022)

e-Print:
- 2206.03417 [quant-ph]

pdf

reference search0 citations

A Convergent Inflation Hierarchy for Quantum Causal Structures

#10

Laurens T. Ligthart
(
- Cologne U.
)
,
Mariami Gachechiladze
(
- Cologne U.
)
,
David Gross
(
- Cologne U.
)

(Oct 27, 2021)

Published in:
- Commun.Math.Phys. 401 (2023) 3, 2673-2714
•
e-Print:
- 2110.14659 [quant-ph]

DOI

reference search20 citations

Schur–Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations

#11

(Aug 1, 2021)

Published in:
- Commun.Math.Phys. 385 (2021) 3, 1325-1393

pdfDOI

reference search103 citations

The axiomatic and the operational approaches to resource theories of magic do not coincide

#12

Arne Heimendahl
(
- Cologne U.
)
,
Markus Heinrich
(
- Cologne U. and
- Heinrich Heine U., Dusseldorf
)
,
David Gross
(
- Cologne U.
)

(Nov 23, 2020)

Published in:
- J.Math.Phys. 63 (2022) 11, 112201
•
e-Print:
- 2011.11651 [quant-ph]

pdfDOI

reference search11 citations

Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates

#13

Jonas Haferkamp
(
- Freie U., Berlin
)
,
Felipe Montealegre-Mora
(
- Cologne U.
)
,
Markus Heinrich
(
- Cologne U.
)
,
Jens Eisert
(
- Freie U., Berlin
)
,
David Gross
(
- Cologne U.
)

et al.

(Feb 21, 2020)

Published in:
- Commun.Math.Phys. 397 (2023) 3, 995-1041
•
e-Print:
- 2002.09524 [quant-ph]

DOI

reference search76 citations

All-Optical Control of the Silicon-Vacancy Spin in Diamond at Millikelvin Temperatures

#14

et al.

(Jan 30, 2018)

Published in:
- Phys.Rev.Lett. 120 (2018) 5, 053603

DOI

reference search63 citations

Experimental quantum compressed sensing for a seven-qubit system

#15

C.A. Riofrío
(
- Freie U., Berlin
)
,
D. Gross
(
- Cologne U. and
- Sydney U.
)
,
S.T. Flammia
(
- Sydney U.
)
,
T. Monz
(
- Innsbruck U.
)
,
D. Nigg
(
- Innsbruck U.
)

et al.

(May 17, 2017)

Published in:
- Nature Commun. 8 (2017) 1, 15305

pdfDOI

reference search71 citations

Multi-partite entanglement

#16

Michael Walter
(
- Stanford U., ITP
)
,
David Gross
(
- Cologne U. and
- Sydney U.
)
,
Jens Eisert
(
- Freie U., Berlin (main)
)

(Dec 7, 2016)

e-Print:
- 1612.02437 [quant-ph]

pdf

reference search45 citations

The Clifford group fails gracefully to be a unitary 4-design

#17

Huangjun Zhu
(
- Cologne U.
)
,
Richard Kueng
(
- Cologne U.
)
,
Markus Grassl
(
- MPI Sci. Light, Erlangen
)
,
David Gross
(
- Cologne U.
)

(Sep 26, 2016)

e-Print:
- 1609.08172 [quant-ph]

pdf

reference search87 citations

Qubit stabilizer states are complex projective 3-designs

#18

Richard Kueng
(
- Cologne U. and
- Freiburg U.
)
,
David Gross
(
- Cologne U. and
- Freiburg U.
)

(Oct 9, 2015)

e-Print:
- 1510.02767 [quant-ph]

pdf

reference search61 citations

Focus on quantum tomography

#19

(Dec 13, 2013)

Published in:
- New J.Phys. 15 (2013) 12, 125020

pdfDOI

reference search69 citations

Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators

#20

(Sep 27, 2012)

Published in:
- New J.Phys. 14 (2012) 9, 095022

DOI

reference search185 citations

Index Theory of One Dimensional Quantum Walks and Cellular Automata

#21

(Mar 1, 2012)

Published in:
- Commun.Math.Phys. 310 (2012) 2, 419-454

DOI

reference search100 citations

Permutationally Invariant Quantum Tomography

#22

et al.

(Dec 16, 2010)

Published in:
- Phys.Rev.Lett. 105 (2010) 25, 250403

pdfDOI

reference search112 citations

Quantum margulis expanders

#23

David Gross
(
- Imperial Coll., London and
- Potsdam U.
)
,
Jens Eisert
(
- Imperial Coll., London and
- Potsdam U.
)

(2008)

Published in:
- Quant.Inf.Comput. 8 (2008) 8-9, 0722-0733

DOI

reference search5 citations

Efficient 2-designs from bases exist

#24

(2008)

Published in:
- Quant.Inf.Comput. 8 (2008) 8-9, 0734-0740

DOI

reference search3 citations

The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)

#25

(2008)

Published in:
- Quant.Inf.Comput. 8 (2008) 3-4, 0263-0281

DOI

reference search10 citations

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