A criterion for quantum teleportation of an arbitrary
                    <i>N</i>
                    -particle state via a 2
                    <i>N</i>
                    -particle quantum channel

Liu, Daming; Wang, Yanwei; Xiu-Mei, Jiang; Zheng, Yuanlin

doi:10.1088/1674-1056/19/2/020307

Cited by 11 publications

(8 citation statements)

References 37 publications

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“…QT has been realized experimentally [9][10][11] and also generalized for QT of N qubits [12][13][14][15][16]. It has been shown that for QT of N qubits, the resource has to be entangled state of at least 2N qubits [17].…”

Section: Introductionmentioning

confidence: 99%

“…The QT of an arbitrary N qubits state has been studied by many authors [12][13][14][15][16]. Chen et al [12] gave a protocol for QT of an arbitrary N-qubit state using 2N-qubit entanglement channel which is a tensor product of N-Bell states.…”

Section: Introductionmentioning

confidence: 99%

“…The character matrix is characteristic of the quantum channel. Ming et al [15] gave a criterion for the quantum teleportation of an arbitrary N-particle state using 2N-particle entangled state by introducing a "judgment operator", writing…”

Section: Introductionmentioning

confidence: 99%

“…The 2 2N Bell states have been formed by application of products of Pauli operators on N-qubits of an entangled 2N-qubit state which is one in the family of Bell states. When the result of BSM is this Bell state, Ming et al [15] call their judgment operator as "head judgment operator". Qin et al [16] introduced a "Kernel Operator" in teleporting an arbitrary N-qubit state by using 2N-qubit entangled state.…”

Section: Introductionmentioning

confidence: 99%

“…We find condition on resource q-channel and Bell states for achieving perfect QT. We also find that the unitary transformation required to be done by Bob for perfect QT and discuss the connection with character matrix [14] transformation operator [26], judgment operator [15] and kernel operator [16]. In section 3, we prove that the Hill and Wootters type magic basis cannot exist for entangled 2N qubit state for N > 1.…”

Section: Introductionmentioning

confidence: 99%

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Non-existence of magic basis and existence of magic partial bases for 2Nentangled qubit states withN> 1

Prakash¹,

Verma²

2012

J. Phys. A: Math. Theor.

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We present a simple and precise protocol for standard quantum teleportation of N-qubit state, considering the most general resource q-channel and Bell states. We find condition on these states for perfect teleportation and give explicitly the unitary transformation required to be done by Bob for achieving perfect teleportation. We discuss connection of our simple theory with the complicated related work on this subject and with character matrix, transformation, judgment and kernel operators defined in this context. We also prove that the magic basis discussed by Hill and Wootters [Phys. Rev. Lett. 78 (1997) 5022] does not exist for entangled 2N-qubit states with N > 1 but magic partial bases, similar to those discussed recently by Prakash and Maurya [Optics Commun. 284 (2011) 5024] do exist. We give explicitly all magic partial bases for N = 2.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Non-existence of magic basis and existence of magic partial bases for 2Nentangled qubit states withN> 1

Prakash¹,

Verma²

2012

J. Phys. A: Math. Theor.

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Faithful teleportation via multi-particle quantum states in a network with many agents

Jiang

Zhang

et al. 2011

Quantum Inf Process

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An efficient scheme is proposed for faithful teleportation of an arbitrary unknown multi-particle state via multi-particle quantum states, in which the teleportation is completely deterministic providing that one can successfully construct a group of EPR pairs. Our scheme can effectively avoid possible destruction of the unknown state to be teleported, which however may occur in existing probabilistic teleportation schemes. In addition, we develop a scheme for establishing a faithful quantum channel for both indirect and direct teleportation multi-particle system, which can be applied in a teleportation network where intermediate agents exist between a sender and a receiver. Compared to the indirect construction of the faithful channel, the required auxiliary particle resources, local operations and classical communications in the direct construction scheme are considerably reduced.

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An efficient scheme for multi-party quantum state sharing via non-maximally entangled states

et al. 2012

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We present a new scheme for investigating the usefulness of non-maximally entangled states for multi-party quantum state sharing in a simple and elegant manner. In our scheme, the sender, Alice shares n various probabilistic channels composed of non-maximally entangled states with n agents in a network. Our protocol involves only Bell-basis measurements, single qubit measurements, and a two-qubit unitary transformation operated by free optional agents. Our scheme is a more convenient realization because no other multipartite joint measurements are needed. Furthermore, in our scheme various probabilistic channels lessen the requirement for quantum channels, which makes it more practical for physical implementation. quantum state sharing, probabilistic channel, multi-particle state, two-particle entangled state Quantum secret sharing (QSS) is a method for creating a private key and dividing it between parties. It has potential applications ranging from quantum secure communication, quantum key distribution, and joint sharing of quantum money [1][2][3][4][5][6]. This research area covers classical secret sharing and quantum information sharing among multiple participants. The latter case was named "quantum state sharing" (QSTS) by Lance et al. [7]. The basic idea of QSTS in the multi-party case is that some information in a secret quantum state of a multi-qubit possessed by one person is distributed between that person, whom we call "Alice", and multiple remote recipients. This is done in such a way that it can be jointly reconstructed and shared only if all participants collaborate. In some sense, QSTS is equivalent to quantum-controlled teleportation. However, during the process of quantum teleportation, an unknown quantum state is transferred to a distant location without revealing any information about the state in the course of the transformation. For a general QSTS protocol, that information is not so restricted. The shared quantum states can be known or unknown in advance to the initial holder. In most QSTS protocols [8][9][10][11][12][13][14][15][16][17][18][19], entanglement is the main phenomenon used to share quantum information. So far, various entangled states have been extensively used in QSTS protocols, such as Bell states [7][8][9][10][11]

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A criterion for quantum teleportation of an arbitrary N -particle state via a 2 N -particle quantum channel

Cited by 11 publications

References 37 publications

Non-existence of magic basis and existence of magic partial bases for 2Nentangled qubit states withN> 1

Non-existence of magic basis and existence of magic partial bases for 2Nentangled qubit states withN> 1

Faithful teleportation via multi-particle quantum states in a network with many agents

An efficient scheme for multi-party quantum state sharing via non-maximally entangled states

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