Results 41 to 50 of about 377,813 (234)
Multiqubit Clifford groups are unitary 3-designs
, 2017 Unitary $t$-designs are a ubiquitous tool in many research areas, including randomized benchmarking, quantum process tomography, and scrambling. Despite the intensive efforts of many researchers, little is known about unitary $t$-designs with $t\geq3$ in
Zhu, Huangjun
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Indefinite causal order strategy does not improve the estimation of group action [PDF]
QuantumWe consider estimation of unknown unitary operation when the set of possible unitary operations is given by a projective unitary representation of a compact group.
Masahito Hayashi
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Orthogonality preserving transformations on complex projective spaces
AIMS MathematicsIt is well known that transformations of $ \mathbb{C}^n $ preserving the standard inner product are unitary transformations. In this paper, all bijective transformations of isotropic sets of $ \mathbb{C}P^{n} $ preserving $ H $-orthogonality in both ...
Kai Zhou, Zhenhua Gu, Hongfeng Wu
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Supercharacters of Unipotent Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 \textbfAbstract. We construct supercharacter theories of finite unipotent groups in the orthogonal, symplectic and unitary types. Our method utilizes group actions in a manner analogous to that of Diaconis and Isaacs in their construction of ...
Scott Andrews
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Holographic unitary renormalization group for correlated electrons - I: A tensor network approach
Nuclear Physics B, 2020 We present a unified framework for the renormalisation of the Hamiltonian and eigenbasis of a system of correlated electrons, unveiling thereby the interplay between electronic correlations and many-particle entanglement.
Anirban Mukherjee, Siddhartha Lal
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Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
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Nash Equilibria of Quantum Games in the Special Two-Parameter Strategy Space
Applied Sciences, 2022 The aim of the paper is to examine pure Nash equilibria in a quantum game that extends the classical bimatrix game of dimension 2. The strategies of quantum players are specific types of two-parameter unitary operations such that the resulting quantum ...
Piotr Frąckiewicz +3 more
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Secure two-party quantum evaluation of unitaries against specious adversaries
, 2010 We describe how any two-party quantum computation, specified by a unitary which simultaneously acts on the registers of both parties, can be privately implemented against a quantum version of classical semi-honest adversaries that we call specious.
D. Gottesman +8 more
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g-frame generator sets for projective unitary representations
AIMS MathematicsFrames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on.
Aifang Liu, Jian Wu
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Nuclear Physics B, 2020 Capturing the interplay between electronic correlations and many-particle entanglement requires a unified framework for Hamiltonian and eigenbasis renormalization.
Anirban Mukherjee, Siddhartha Lal
doaj +1 more source