Results 61 to 70 of about 1,132 (169)

Exact bosonic Matrix Product States (and holography)

Journal of High Energy Physics, 2019
We derive an exact formula for a matrix product state (MPS) representation (or a PEPS in higher number of dimensions) of the ground state of translationally invariant bosonic lattice systems in terms of a single one-dimensional Euclidean quantum ...
Romuald A. Janik
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Liouville-Fock-state lattices: From environment-induced frustration to synthetic lattice dynamics

Physical Review Research
We introduce Liouville-Fock-state lattices (LFSLs) as a framework for visualizing open quantum systems through matrix representations of the Lindblad master equation.
Caio B. Naves, Jonas Larson
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A hyperdeterminant on fermionic Fock space

Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions
Twenty years ago, Cayley's hyperdeterminant, the degree four invariant of the polynomial ring \mathbb{C}[\mathbb{C}^2\otimes\mathbb{C}^2\otimes \mathbb{C}^2]^{{\operatorname{SL}_2(\mathbb{C})}^{\times 3}} , was popularized in modern physics as it separates genuine entanglement classes in
Frédéric Holweck, Luke Oeding
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Lie algebras in Fock space

, 2000
A catalogue of explicit realizations of representations of (super) Lie algebras and quantum algebras in Fock space is presented.
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Two-parameter generalization for the super modified KP hierarchy in super Fock spaces

Physics Letters B
This paper presents a construction of the (λ, n)-generalized super modified KP (SmKP) hierarchy, an extended integrable system that contains the standard super modified KP hierarchy as the special case λ=0, where λ is a non-negative integer and n a ...
Huizhan Chen
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Exchange gate on the qudit space and Fock space

Journal of Optics B: Quantum and Semiclassical Optics, 2003
We construct the exchange gate with small elementary gates on the space of qudits, which consist of three controlled shift gates and three "reverse" gates. This is a natural extension of the qubit case. We also consider a similar subject on the Fock space, but in this case we meet with some different situation.
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Quantum Error Correction beyond SU(2): Spin, Bosonic, and Permutation-Invariant Codes from Convex Geometry

PRX Quantum
We develop a framework for constructing quantum error-correcting codes and logical gates for three types of spaces—composite permutation-invariant spaces of many qubits or qudits, composite constant-excitation Fock state spaces of many bosonic modes, and
Arda Aydin, Victor V. Albert, Alexander Barg   +2 more
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Dual Toeplitz operators on the weighted Fock spaces

四川大学学报. 自然科学版
With the successful characterization of the semi-commutativity of dual Toeplitz operators on the orthogonal complement of the Bergman space over the unit disk， dual Toeplitz operators on the orthogonal complement of analytic function spaces have ...
CAO Guangfu, YU Siqi
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Heat and Laplace type equations with complex spatial variables in weighted Fock spaces

Electronic Journal of Differential Equations, 2020
In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
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Deformed Fock spaces, Hecke operators and monotone Fock space of Muraki

Demonstratio Mathematica, 2012
Abstract The main purpose of this paper is to extend our previous construction of T-Fock spaces from a given Yang–Baxter operator satisfying the inequalities −1 ≤ T ≤ 1 to the constructions of T-symmetric Fock spaces related to the class of Yang–Baxter–Hecke operators meeting a weaker condition that T ≥ −1.
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