Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Kumar, Asutosh"'
Autor:
Kumar, Asutosh
The characterization of information within a multiparty system is both significant and complex. This paper presents the concept of generalized conditional mutual information, along with a family of multiparty quantum mutual information measures. We p
Externí odkaz:
http://arxiv.org/abs/2407.16365
We propose an algorithm for calculating the determinant of a square matrix, and construct the quantum circuit realizing it, using multiqubit control gates (representable in terms of Toffoli gates, CNOTs and SWAPs), Hadamard transformations and $Z$-op
Externí odkaz:
http://arxiv.org/abs/2401.16619
Autor:
Kumar, Asutosh
Publikováno v:
Phys. Rev. A 108(6), 066402 (2023)
We reaffirm the claim of Lee et al. [preceding Comment, Phys. Rev. A 108, 066401 (2023)] that the expression of quantum dual total correlation of a multipartite system in terms of quantum relative entropy as proposed in previous work [A. Kumar, Phys.
Externí odkaz:
http://arxiv.org/abs/2401.00026
We propose protocols for calculating inner product, matrix addition and matrix multiplication based on multiqubit Toffoli-type and the simplest one-qubit operations and employ ancilla measurements to remove all garbage of calculations. The depth (run
Externí odkaz:
http://arxiv.org/abs/2311.11329
Publikováno v:
Chin. Phys. B 33, 030304 (2024)
The study of quantum channels is the most fundamental theoretical problem in quantum information and quantum communication theory. The link product theory of quantum channels is an important tool for studying quantum networks. In this paper, we estab
Externí odkaz:
http://arxiv.org/abs/2309.03052
Publikováno v:
Phys. Lett. A 481, 129030 (2023)
In this paper, we show that the minimal quantum discord over "cross-symmetric" state extensions is an entanglement monotone. In particular, we show that the minimal Bures distance of discord over cross-symmetric extensions is equivalent to the Bures
Externí odkaz:
http://arxiv.org/abs/2303.10389
Publikováno v:
Phys. Rev. A, 108(1), 012416 (2023)
We study partial coherence and its connections with entanglement. First, we provide a sufficient and necessary condition for bipartite pure state transformation under partial incoherent operations: A bipartite pure state can be transformed to another
Externí odkaz:
http://arxiv.org/abs/2302.01760
Autor:
Kumar, Asutosh
We write out relations between the base of natural logarithms ($e$), the ratio of the circumference of a circle to its diameter ($\pi$), and the golden ratios ($\Phi_p$) of the additive $p$-sequences. An additive $p$-sequence is a natural extension o
Externí odkaz:
http://arxiv.org/abs/2301.09643
Publikováno v:
Commun. Theor. Phys. 76, 035103 (2024)
Fundamental matrix operations and solving linear systems of equations are ubiquitous in scientific investigations. Using the "Sender-Receiver" model, we propose quantum algorithms for matrix operations such as matrix-vector product, matrix-matrix pro
Externí odkaz:
http://arxiv.org/abs/2202.04888
Autor:
Kumar, Asutosh
From Shor's [Comm. Math. Phys. 246(3), 453 (2004)] and Hastings's [Nature Phys. 5, 255 (2009)] studies, the strong superadditivity of entanglement of formation is, in general, not true. In this paper, we provide conditions for strong superadditivity
Externí odkaz:
http://arxiv.org/abs/2109.10211