2N qubit “mirror states” for optimal quantum communication

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Vol. 61; no. 3; pp. 757 - 763
• Main Authors: Muralidharan, S., Karumanchi, S., Jain, S., Srikanth, R., Panigrahi, P. K.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.02.2011; EDP Sciences
• Subjects: Algorithms; Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Bells; Classical and quantum physics: mechanics and fields; Clusters; Coding; Entanglement; Exact sciences and technology; Molecular; Optical and Plasma Physics; Optimization; Physical Chemistry; Physics; Physics and Astronomy; Quantum communication; Quantum information; Quantum Information Technology; Quantum Physics; Qubits (quantum computing); Spectroscopy/Spectrometry; Spintronics; Splitting; Entangle State; Cluster State; Qubit State; Quantum Secret Sharing; Mirror State; Ion trap; Algorithms; Quantum entanglement; Quantum teleportation; Phase shift; Electron beam ion source; Theoretical study; Encoding; Quantum information; Mirrors; Comparative study; Quantum communication
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2010-09653-x

. We introduce a new genuinely 2N qubit state, known as the “mirror state” with interesting entanglement properties. The well known Bell and the cluster states form a special case of these “mirror states”, for N = 1 and N = 2 respectively. It can be experimentally realized using SWAP and multiply controlled phase shift operations. After establishing the general conditions for a state to be useful for various communicational protocols involving quantum and classical information, it is shown that the present state can optimally implement algorithms for the quantum teleportation of an arbitrary N qubit state and achieve quantum information splitting in all possible ways. With regard to superdense coding, one can send 2N classical bits by sending only N qubits and consuming N ebits of entanglement. Explicit comparison of the mirror state with the rearranged N Bell pairs and the linear cluster states is considered for these quantum protocols. We also show that mirror states are more robust than the rearranged Bell pairs with respect to a certain class of collisional decoherence.