Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Mishra Hemant"'
Autor:
Kamat, Rudra R., Mishra, Hemant K.
A fundamental result in symplectic linear algebra states that for a given positive semi-definite quadratic form on a symplectic space there exists a symplectic in which the quadratic form reduces to a normal form. The special case of the aforemention
Externí odkaz:
http://arxiv.org/abs/2412.01492
Autor:
Mishra, Hemant K.
Williason's theorem states that if $A$ is a $2n \times 2n$ real symmetric positive definite matrix then there exists a $2n \times 2n$ real symplectic matrix $M$ such that $M^T A M=D \oplus D$, where $D$ is an $n \times n$ diagonal matrix with positiv
Externí odkaz:
http://arxiv.org/abs/2408.04894
Quantum state exclusion is an operational task that has significance in studying foundational questions related to interpreting quantum theory. In such a task, one is given a system whose state is randomly selected from a finite set, and the goal is
Externí odkaz:
http://arxiv.org/abs/2407.13728
The main contribution of our paper is to introduce a number of multivariate quantum fidelities and show that they satisfy several desirable properties that are natural extensions of those of the Uhlmann and Holevo fidelities. We propose three variant
Externí odkaz:
http://arxiv.org/abs/2404.16101
Autor:
Huang, Shaowu, Mishra, Hemant K.
Publikováno v:
Linear Algebra and its Applications, (2024)
Symplectic eigenvalues are known to satisfy analogs of several classic eigenvalue inequalities. Of these is a set of weak supermajorization relations concerning symplectic eigenvalues that are weaker analogs of some majorization relations correspondi
Externí odkaz:
http://arxiv.org/abs/2404.05795
Autor:
Mishra, Hemant K.
In this paper, we provide an algebraic condition on any $2n \times 2n$ real symmetric positive definite matrix which is necessary and sufficient for the matrix to be diagonalized by an orthosymplectic matrix in the sense of Williamson's theorem.
Externí odkaz:
http://arxiv.org/abs/2403.11609
Autor:
Mishra, Hemant K.
In the last decade, numerous works have investigated several properties of symplectic eigenvalues. Remarkably, the results on symplectic eigenvalues have been found to be analogous to those of eigenvalues of Hermitian matrices with appropriate interp
Externí odkaz:
http://arxiv.org/abs/2309.04562
Publikováno v:
Letters in Mathematical Physics, Volume 114, Article Number 76, June 2024
The concept of antidistinguishability of quantum states has been studied to investigate foundational questions in quantum mechanics. It is also called quantum state elimination, because the goal of such a protocol is to guess which state, among finit
Externí odkaz:
http://arxiv.org/abs/2309.03723
Autor:
Babu, Gajendra, Mishra, Hemant K.
Publikováno v:
Canadian Mathematical Bulletin, 67(1):201--214 (2024)
Williamson's theorem states that for any $2n \times 2n$ real positive definite matrix $A$, there exists a $2n \times 2n$ real symplectic matrix $S$ such that $S^TAS=D \oplus D$, where $D$ is an $n\times n$ diagonal matrix with positive diagonal entri
Externí odkaz:
http://arxiv.org/abs/2307.01078
Publikováno v:
International Journal of Quantum Information, Volume 22, Issue 05, Article 2440010, August 2024
The pretty good measurement is a fundamental analytical tool in quantum information theory, giving a method for inferring the classical label that identifies a quantum state chosen probabilistically from an ensemble. Identifying and constructing the
Externí odkaz:
http://arxiv.org/abs/2303.04949