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The interplay between non-stabilizerness and entanglement in random states is a very rich arena of study for the understanding of quantum advantage and complexity.
The Haar Integral
Leopoldo Nachbin · 1976
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Entropy of an n-system from its correlation with ak-reservoir
Elihu Lubkin · 1978
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Black Holes, Demons and the Loss of Coherence: How Complex Systems Get Information, and What They Do with It
Seth Lloyd · 1988
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Complexity as thermodynamic depth
Seth Lloyd and Heinz Pagels · 1988
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The heritage of P. Lévy in geometrical functional analysis
VD Milman · 1988
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Average entropy of a subsystem
Don N. Page · 1993
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The Heisenberg Representation of Quantum Computers
Daniel Gottesman · 1998
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Entangling power of quantum evolutions
Paolo Zanardi, Christof Zalka, and Lara Faoro · 2000
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Entropy and wigner functions
G. Manfredi and M. R. Feix · 2000
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A Better Bound on the Variance
Rajendra Bhatia and Chandler Davis · 2000
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Induced measures in the space of mixed quantum states
Karol Zyczkowski and Hans-Jürgen Sommers · 2001
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Entangling power of the quantum baker’s map
Andrew J Scott and Carlton M Caves · 2003
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Entanglement in the stabilizer formalism
David Fattal, Toby S Cubitt, Yoshihisa Yamamoto, Sergey Bravyi, and Isaac L Chuang · 2004
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Quantum entangling power of adiabatically connected hamiltonians
Alioscia Hamma and Paolo Zanardi · 2004
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Bipartite entanglement and entropic boundary law in lattice spin systems
Alioscia Hamma, Radu Ionicioiu, and Paolo Zanardi · 2005
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Universal quantum computation with ideal Clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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The Concentration of Measure Phenomenon
Michel Ledoux · 2005
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Entanglement probability distribution of bi-partite randomised stabilizer states
Oscar C. O. Dahlsten and Martin B. Plenio · 2006
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Entanglement and the foundations of statistical mechanics
Sandu Popescu, Anthony J. Short, and Andreas Winter · 2006
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Aspects of Generic Entanglement
Patrick Hayden, Debbie W. Leung, and Andreas Winter · 2006
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Geometry of Quantum States: An Introduction to Quantum Entanglement
Ingemar Bengtsson and Karol Zyczkowski · 2006
Cited alongside, same era.
Linear entropy as an entanglement measure in two-fermion systems
Fabrizio Buscemi, Paolo Bordone, and Andrea Bertoni · 2007
Cited alongside, same era.
Quantum entanglement
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A. Nielsen and Isaac L. Chuang · 2010
Cited alongside, same era.
Catalysis and activation of magic states in fault-tolerant architectures
Earl T. Campbell · 2011
Cited alongside, same era.
Measuring Tr ρ n \mathrm{Tr}{\rho}^{n} on single copies of ρ \rho using random measurements
S. J. van Enk and C. W. J. Beenakker · 2012
Transitions in entanglement complexity in random quantum circuits by measurements
Salvatore F.E. Oliviero, Lorenzo Leone, and Alioscia Hamma · 2021
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Quantum Chaos is Quantum
Lorenzo Leone, Salvatore F. E. Oliviero, You Zhou, and Alioscia Hamma · 2021
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Information scrambling over bipartitions: Equilibration, entropy production, and typicality
Georgios Styliaris, Namit Anand, and Paolo Zanardi · 2021
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Stabilizer Rényi Entropy
Lorenzo Leone, Salvatore FE Oliviero, and Alioscia Hamma · 2022
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Nonstabilizerness determining the hardness of direct fidelity estimation
Lorenzo Leone, Salvatore FE Oliviero, and Alioscia Hamma · 2023
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Resource theory of quantum scrambling
Roy J Garcia, Kaifeng Bu, and Arthur Jaffe · 2023
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Cited alongside, same era.
Emergent Irreversibility and Entanglement Spectrum Statistics
Claudio Chamon, Alioscia Hamma, and Eduardo R. Mucciolo · 2014
Cited alongside, same era.
The Resource Theory of Stabilizer Quantum Computation
Victor Veitch, S. A. Hamed Mousavian, Daniel Gottesman, and Joseph Emerson · 2014
Cited alongside, same era.
Measuring entanglement entropy in a quantum many-body system
Rajibul Islam, Ruichao Ma, Philipp M. Preiss, M. Eric Tai, Alexander Lukin, Matthew Rispoli, and Markus Greiner · 2015
Cited alongside, same era.
Trading Classical and Quantum Computational Resources
Sergey Bravyi, Graeme Smith, and John A. Smolin · 2016
Cited alongside, same era.
The Clifford group fails gracefully to be a unitary 4-design
Huangjun Zhu, Richard Kueng, Markus Grassl, and David Gross · 2016
Cited alongside, same era.
Coherence-generating power of quantum unitary maps and beyond
Paolo Zanardi, Georgios Styliaris, and Lorenzo Campos Venuti · 2017
Cited alongside, same era.
Pseudomagic quantum states
Andi Gu, Lorenzo Leone, Soumik Ghosh, Jens Eisert, Susanne F. Yelin, and Yihui Quek · 2024
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Dynamical magic transitions in monitored clifford+ t t circuits
Mircea Bejan, Campbell McLauchlan, and Benjamin Béri · 2024
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Quantifying nonstabilizerness through entanglement spectrum flatness
Emanuele Tirrito, Poetri Sonya Tarabunga, Gugliemo Lami, Titas Chanda, Lorenzo Leone, Salvatore FE Oliviero, Marcello Dalmonte, Mario Collura, and Alioscia Hamma · 2024
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Stabilizer entropies are monotones for magic-state resource theory
Lorenzo Leone and Lennart Bittel · 2024
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Fidelity and entanglement of random bipartite pure states: insights and applications
George Biswas, Shao-Hua Hu, Jun-Yi Wu, Debasish Biswas, and Anindya Biswas · 2024
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Gravitational back-reaction is the holographic dual of magic
ChunJun Cao, Gong Cheng, Alioscia Hamma, Lorenzo Leone, William Munizzi, and Savatore FE Oliviero · 2024
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Introduction to Haar measure tools in quantum information: A beginner’s tutorial
Antonio Anna Mele · 2024
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Quantum state designs with clifford-enhanced matrix product states
Guglielmo Lami, Tobias Haug, and Jacopo De Nardis · 2025
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Magic-induced computational separation in entanglement theory
Andi Gu, Salvatore F.E. Oliviero, and Lorenzo Leone · 2025
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Independent stabilizer Rényi entropy and entanglement fluctuations in random unitary circuits
Dominik Szombathy, Angelo Valli, Cătălin Paşcu Moca, Lóránt Farkas, and Gergely Zaránd · 2025
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Extracting randomness from magic quantum states
Christopher Vairogs and Bin Yan · 2025
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Measuring magic on a quantum processor
Salvatore F. E. Oliviero, Lorenzo Leone, Alioscia Hamma, and Seth Lloyd · 2056
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Lower bounds on the non-Clifford resources for quantum computations
Michael Beverland, Earl Campbell, Mark Howard, and Vadym Kliuchnikov · 2058
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