TRIPARTITE CONTROLLED TELEPORTATION OF AN ARBITRARY TWO-QUBIT STATE WITH MULTIPARTITE CLUSTER STATES

2010 ◽  
Vol 08 (06) ◽  
pp. 969-977 ◽  
Author(s):  
YI-BAO LI ◽  
KUI HOU
Keyword(s):  
Quantum Channel ◽  
Cluster State ◽  
Qubit State ◽  
Controlled Teleportation ◽  
Multipartite Entanglement ◽  
Quantum Channels ◽  
Cluster States ◽  
Similar Scheme

We provide two schemes for tripartite Controlled Teleportation (CT) of an arbitrary two-qubit state by using five- and six-qubit cluster states as the quantum channel. It is found that the five-partite cluster state can be used for CT of an arbitrary two-qubit state with three agents and the six-partite cluster state can be used for symmetric CT scheme. In comparison with the similar scheme using the same quantum channels by Muralidharan and Panigrahi [Phys. Rev. A 78 (2008) 062333] and by Menona et al. [arXiv:/0906.3874v1], not multipartite entanglement measurements, which makes our schemes simpler than the existing schemes.

TRANSFORMATION MATRIX OF NETWORK-CONTROLLED TELEPORTATION

2009 ◽  
Vol 23 (30) ◽  
pp. 3609-3619 ◽  
Author(s):  
XIU-LAO TIAN
Keyword(s):  
Quantum State ◽  
Quantum Channel ◽  
Ghz State ◽  
Transformation Matrix ◽  
Qubit State ◽  
Controlled Teleportation ◽  
Quantum Channels ◽  
Hadamard Operation

According to the collapse principle of quantum state when being measured, we present a method of directly writing out transformation matrix by looking at the figure of a network-controlled quantum channel. We find the rule of constructing transformation matrix in network-controlled teleportation. Based on this method, we gain transformation matrix of two-qubit state teleportation in which two GHZ state act as controlled quantum channels. We further proposed a scheme of one-qubit teleportation by a series-controlled quantum channel and teleportation of three-qubit via a typical network controlled quantum channel, in which two-qubit state instead of GHZ state act as quantum channel. So, Hadamard operation is not necessary in our scheme.

scholarly journals An efficient quantum teleportation of six-qubit state via an eight-qubit cluster state

2018 ◽  
Vol 96 (6) ◽  
pp. 650-653 ◽  
Author(s):  
Nan Zhao ◽  
Min Li ◽  
Nan Chen ◽  
Chang-xing Pei
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
Cluster State ◽  
Qubit State ◽  
Particle State ◽  
Projective Measurement ◽  
Particle Cluster ◽  
Von Neumann ◽  
Original State ◽  
Intrinsic Efficiency

We present a scheme for teleporting a certain class of six-particle state via an eight-particle cluster state as quantum channel. In our scheme, the sender merely needs to perform an eight-particle von-Neumann projective measurement, and the receiver gives a corresponding general evolution to restore the original state. Our scheme is a deterministic scheme. Compared with other schemes proposed before, our scheme possesses higher intrinsic efficiency.

Controlled Teleportation of a Three-Qubit State by Using a Five-Qubit Cluster State

2020 ◽  
Vol 59 (2) ◽  
pp. 502-506
Author(s):  
Yuan-hua Li ◽  
Yi Qiao ◽  
Ming-huang Sang ◽  
Yi-you Nie
Keyword(s):  
Cluster State ◽  
Qubit State ◽  
Controlled Teleportation

DISCRIMINATING 16 MUTUALLY ORTHOGONAL 4-ATOM CLUSTER STATES VIA CAVITY QED IN TELEPORTING ARBITRARY UNKNOWN TWO-ATOM STATE WITH A 4-ATOM CLUSTER STATE AS QUANTUM CHANNEL

2008 ◽  
Vol 19 (05) ◽  
pp. 741-747 ◽  
Author(s):  
WEN ZHANG ◽  
YI-MIN LIU ◽  
ZHANG-YIN WANG ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Quantum Channel ◽  
Cavity Qed ◽  
Thermal Field ◽  
Cluster State ◽  
Photon Number ◽  
Effective Hamiltonian ◽  
Cluster States ◽  
Present Scheme ◽  
Atom Cluster ◽  
Cavity Decay

We propose a scheme for discriminating 16 mutually orthogonal 4-atom cluster entangled states (CES) via cavity QED in teleporting an arbitrary unknown two-atom state with a 4-atom CES as quantum channel. Utilizing the interaction of atoms with cavity and classical field, the complicated 4-atom CESs are transformed into the simple 4-atom product states. Hence the difficulty of measurement during the teleportation process is degraded. In the present scheme, we allow for the case of a strong classical driving field and the detuning between the atoms and the cavity is assumed large enough. Thereby the photon-number-dependent parts in the effective Hamiltonian can be neglected, and the scheme is insensitive to both the cavity decay and the thermal field.

A SCHEME FOR TELEPORTING A GENERAL N-QUBIT STATE THROUGH NONMAXIMALLY ENTANGLED QUANTUM CHANNELS

2009 ◽  
Vol 23 (18) ◽  
pp. 2261-2267 ◽  
Author(s):  
XIU-LAO TIAN ◽  
XIAO-QIANG XI
Keyword(s):  
Tensor Product ◽  
Quantum Channel ◽  
Transformation Matrix ◽  
Inverse Matrix ◽  
Qubit State ◽  
Quantum Channels ◽  
Decomposition Matrix

We propose a scheme for teleporting an arbitrary unknown N-qubit state through nonmaximally entangled quantum channels by using the method of general Bell base decomposition, and give the universal decomposition matrix of the N-qubit. Using the decomposition matrix, one can easily obtain the collapsed state at the receiver's site. The inverse matrix of the decomposition matrix is just the transformation matrix that the receiver can manipulate. The decomposition matrix is a function of the parameters of the quantum channel. After defining the submatrix of the quantum channel, we find that the decomposition matrix is a tensor product of the submatrices.

scholarly journals Volume of the space of qubit-qubit channels and state transformations under random quantum channels

2018 ◽  
Vol 30 (10) ◽  
pp. 1850019 ◽  
Author(s):  
Attila Lovas ◽  
Attila Andai
Keyword(s):  
Lebesgue Measure ◽  
Quantum Channel ◽  
Probability Distributions ◽  
Building Blocks ◽  
The State ◽  
Quantum States ◽  
Qubit State ◽  
Quantum Channels ◽  
State Transformation ◽  
Explicit Formulas

The simplest building blocks for quantum computations are the qubit-qubit quantum channels. In this paper, we analyze the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of classical states (i.e. probability distributions) is called the underlying classical channel. The structure of quantum channels over a fixed classical channel is studied, the volume of the general and unital qubit channels with respect to the Lebesgue measure is computed and explicit formulas are presented for the distribution of the volume of quantum channels over given classical channels. We study the state transformation under uniformly random quantum channels. If one applies a uniformly random quantum channel (general or unital) to a given qubit state, the distribution of the resulted quantum states is presented.

Deterministic quantum cyclic controlled teleportation of arbitrary multi-qubit states using multi-qubit partially entangled channel

2020 ◽  
Vol 35 (25) ◽  
pp. 2050204
Author(s):  
Shiya Sun ◽  
Huisheng Zhang
Keyword(s):  
Communication Networks ◽  
Quantum Channel ◽  
Success Probability ◽  
Bell State ◽  
Qubit State ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Single Qubit ◽  
Qubit States ◽  
Partially Entangled Channel

In this paper, we present a deterministic four-party quantum cyclic controlled teleportation (QCYCT) scheme, by using a multi-qubit partially entangled state as the quantum channel. In this scheme, Alice can teleport an arbitrary [Formula: see text]-qubit state to Bob, Bob can teleport an arbitrary [Formula: see text]-qubit state to Charlie and Charlie can teleport an arbitrary [Formula: see text]-qubit state to Alice under the control of the supervisor David. We utilize rotation gate, Hadamard gates and controlled-NOT (CNOT) gates to construct the multi-qubit partially entangled channel. Only Bell-state measurements, single-qubit von-Neumann measurement and proper unitary operations are required in this scheme, which can be realized in practice easily based on the present quantum experiment technologies. The direction of cyclic controlled teleportation of arbitrary multi-qubit states can also be changed by altering the quantum channel. Analysis demonstrates that the success probability of the proposed scheme can still reach 100% although the quantum channel is non-maximally entangled. Furthermore, the proposed four-party scheme can be generalized into the case involving [Formula: see text] correspondents, which is more suitable for quantum communication networks. We also calculate the intrinsic efficiency and discuss the security of the proposed scheme. Compared with the existing QCYCT schemes which realized cyclic controlled teleportation of arbitrary single-qubit states, specific two-qubit and three-qubit states, the proposed scheme is of general significance.

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