Broadcasting of quantum correlations in qubit-qudit systems

Mundra R, Patel D, Chakrabarty I, Ganguly N, Chatterjee S (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Physical Review A American Physical Society

Book Volume: 100

Article Number: 042319

Journal Issue: 4

DOI: 10.1103/PhysRevA.100.042319

Abstract

Quantum mechanical properties like entanglement, discord, and coherence act as fundamental resources in various quantum information processing tasks. Consequently, the technique of generating more resources from a few, typically termed as broadcasting, serves as a promising candidate for the design of quantum networks. One way to broadcast resources could be using a cloning operation. In this article, broadcasting of quantum resources beyond 2 - 2 systems is investigated. In particular, in 2 - 3 dimensions, a class of states not useful for broadcasting of entanglement is characterized considering an optimal universal Heisenberg cloning machine. The broadcasting ranges for maximally entangled mixed states and two-parameter class of states are obtained to exemplify our protocol. A significant derivative of our protocol is that the cloning operation generates a qutrit (3 - 3) entangled pair with positive partial transpose on one of the local sides, and an absolutely separable qubit (2 - 2) pair on the other side of the input bipartite 2 - 3-dimensional resource state. Moving beyond entanglement, in 2 - d dimensions, the impossibility to optimally broadcast quantum discord and quantum coherence (l1 norm) is established. However, some significant illustrations are provided to highlight that nonoptimal broadcasting of discord and coherence is still possible.

Authors with CRIS profile

Sourav Chatterjee Lehrstuhl für Experimentalphysik (Optik)

Involved external institutions

International Institute of Information Technology Hyderabad (IIT-H) / अंतरराष्ट्रीय सूचना प्रौद्योगिकी संस्थान IN India (IN) Birla Institute of Technology and Science (BITS) IN India (IN)

How to cite

APA:

Mundra, R., Patel, D., Chakrabarty, I., Ganguly, N., & Chatterjee, S. (2019). Broadcasting of quantum correlations in qubit-qudit systems. Physical Review A, 100(4). https://dx.doi.org/10.1103/PhysRevA.100.042319

MLA:

Mundra, Rounak, et al. "Broadcasting of quantum correlations in qubit-qudit systems." Physical Review A 100.4 (2019).

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