Controlled bidirectional remote state preparation in noisy environment: a generalized view

Sharma, Vishal; Shukla, Chitra; Banerjee, Subhashish; Pathak, Anirban

doi:10.1007/s11128-015-1038-5

Cited by 85 publications

(56 citation statements)

References 71 publications

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“…Thus, there exists a trade-off between our knowledge about the state to be teleported and the amount of quantum resources required for the teleportation. Every scheme of RSP that performs teleportation of a known state using lesser amount of quantum resources than that required for teleportation of an unknown quantum state [2,52], essentially exploits this trade-off.…”

Section: Experimental Implementation Of the Proposed Efficient Qtmentioning

confidence: 99%

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Sisodia

Shukla

Thapliyal

et al. 2017

Quantum Inf Process

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An explicit scheme (quantum circuit) is designed for the teleportation of an n-qubit quantum state. It is established that the proposed scheme requires an optimal amount of quantum resources, whereas larger amount of quantum resources has been used in a large number of recently reported teleportation schemes for the quantum states which can be viewed as special cases of the general n-qubit state considered here. A trade off between our knowledge about the quantum state to be teleported and the amount of quantum resources required for the same is observed. A proof of principle experimental realization of the proposed scheme (for a 2-qubit state) is also performed using 5-qubit superconductivity-based IBM quantum computer. Experimental results show that the state has been teleported with high fidelity. Relevance of the proposed teleportation scheme has also been discussed in the context of controlled, bidirectional, and bidirectional-controlled state teleportation.

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Section: Experimental Implementation Of the Proposed Efficient Qtmentioning

confidence: 99%

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Sisodia

Shukla

Thapliyal

et al. 2017

Quantum Inf Process

Self Cite

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“…It is already mentioned that entangled states, which are nonclassical states, are essential for the realization of dense-coding [12] and quantum teleportation 18 of an unknown quantum state [11] and that of a known quantum state, which is referred to as remote state preparation [179]. Further, entanglement is essential for implementation of various variants of teleportation and remote state preparation, such as probabilistic teleportation [180], teleportation using non-orthogonal states [181], quantum information splitting [182], joint remote state preparation [183], hierarchical joint remote state preparation [184], bidirectional controlled state teleportation [185,186], bidirectional controlled remote state preparation [187,186], bidirectional controlled joint remote state preparation [187,186]. It can be used to implement schemes for secure quantum communication, like-Ekert's protocol for QKD [188], Ping-pong protocol for QSDC [170], protocols for two-way secure direct quantum communication known as quantum dialogue 19 [191,192,193], and its variant asymmetric quantum dialogue [194], quantum key agreement [195,196] where two parties contribute equally to construct a key and no that the scheme proposed in [165] was actually a scheme for quantum secure direct communication.…”

Section: Entangled State and Its Applicationsmentioning

confidence: 99%

Classical light vs. nonclassical light: characterizations and interesting applications

Pathak

Ghatak

2017

Journal of Electromagnetic Waves and Applications

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We briefly review the ideas that have shaped modern optics and have led to various applications of light ranging from spectroscopy to astrophysics, and street lights to quantum communication. The review is primarily focused on the modern applications of classical light and nonclassical light. Specific attention has been given to the applications of squeezed, antibunched, and entangled states of radiation field. Applications of Fock states (especially single photon states) in the field of quantum communication are also discussed. *

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“…We follow the method used 13 for the information transfer under noisy environment. let the quantum density state is r = ψ ψ , here ψ is any n qubit initial pure quantum state before transmission.…”

Section: The Effect Of Various Kinds Of Noises On the Quantum Statesmentioning

confidence: 99%

Effect of Noise on Practical Quantum Communication Systems

Sharma¹

2016

Def. Sc. Jl.

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Entanglement is an important resource for various applications of quantum computation. Another important endeavor is to establish the role of entanglement in practical implementation where system of interest is affected by various kinds of noisy channels. Here, a single classical bit is used to send information under the influence of a noisy quantum channel. The entanglement content of quantum states is computed under noisy channels such as amplitude damping, phase damping, squeesed generalised amplitude damping, Pauli channels and various collective noise models on the protocols of quantum key distribution.Keywords: Entanglement, quantum noise, markov process, optical-fiber, optical communication The operators which fulfill the criteria from Eqn.(1) to (3) is essentially considered under noisy channel condition. Similarly, for two transmissions through the channel the Kraus operator representation is as follows . This encoding is performed on the transmitted bit sent to Bob. After this, Alice sends these states via channel. Bob uses the action of the channel given in Eqn. (4) to get output in one of the two possible operators 0 R and 1 R at the receiving end. ( ) Tr R E s b is the probability value in Bob's measurement, which depends on the bit value sent by Alice and the method of maximum likelihood that depends on the values of bits b and s to make ( ) Tr R E s b maximum. The average error probability is written asBob performs von Neumann measurement to get P e minimum, henceConcurrence is used to measure the entanglement amount, the entanglement strength and considered as an independent entanglement measure. Concurrence for a pure state ψ with bipartite two-level systems is defined ashere * ψ is the complex conjugate of pure state ψ , 2 σ is the Pauli y-matrix defined as. Concurrence for a given mixed state is written ashere i λ represents decreasing eigenvalues of the Hermitian matrix R = r r r  and ( ) ( ). THE EFFECT OF VARIOUS KINDS OF NOISES ON THE QUANTUM STATESHere we consider only some specific noise models like amplitude damping, phase-damping and two types of collective noises for the interaction with the quantum states transmitting between Alice and Bob. We follow the method used 13 for the information transfer under noisy environment. let the quantum density state is r = ψ ψ , here ψ is any n qubit initial pure quantum state before transmission. Under noisy conditions the transmitted pure state evolves as follows:where k E i j denotes Kraus operator for specific type of noisy channel under consideration applied on desired qubit of the travelling quantum state. The evolution of density matrix undercollective noise models can be written ashere k represents type of noisy channel used, and U i is a 2 x 2 matrix (it works on a single qubit) for collective dephasing andcollective rotation noises. After obtaining the transformed density matrix k r , the normalization can be achieved by calculating the trace to be 1. We can make it one by dividing it by the trace of the transformed matrix k r ....

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Controlled bidirectional remote state preparation in noisy environment: a generalized view

Cited by 85 publications

References 71 publications

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Classical light vs. nonclassical light: characterizations and interesting applications

Effect of Noise on Practical Quantum Communication Systems

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