MULTIPARTY REMOTELY PREPARING MULTIPARTITE EQUATORIAL ENTANGLED STATES IN HIGH DIMENSIONS

2011 ◽  
Vol 09 (06) ◽  
pp. 1437-1448
Author(s):  
YI-BAO LI ◽  
KUI HOU ◽  
SHOU-HUA SHI
Keyword(s):  
Quantum State ◽  
Quantum Channel ◽  
Success Probability ◽  
Quantum States ◽  
Remote State Preparation ◽  
Entangled States ◽  
Entangled State ◽  
High Dimensions ◽  
Original State ◽  
State Preparation

We propose two kinds of schemes for multiparty remote state preparation (MRSP) of the multiparticle d-dimensional equatorial quantum states by using partial entangled state as the quantum channel. Unlike more remote state preparation scheme which only one sender knows the original state to be remotely prepared, the quantum state is shared by two-party or multiparty in this scheme. We show that if and only if all the senders agree to collaborate with each other, the receiver can recover the original state with certain probability. It is found that the total success probability of MRSP is only by means of the smaller coefficients of the quantum channel and the dimension d.

scholarly journals Nonmaximal Entanglement Can Make Joint Remote State Preparation Absolutely Secure

2013 ◽  
Vol 23 (2) ◽  
pp. 97
Author(s):  
Cao Thi Bich ◽  
Nguyen Ba An
Keyword(s):  
Quantum State ◽  
Quantum Channel ◽  
The State ◽  
Remote State Preparation ◽  
Entangled States ◽  
Joint Remote State Preparation ◽  
State Preparation ◽  
Quantum Task

Joint remote state preparation is a multiparty global quantum task in which several parties are assigned to jointly prepare a quantum state for a remote party. Although various protocols have been proposed so far, none of them are absolutely secure in the sense that the legitimate parties (the preparers plus the receiver) can by no means identify the state to be prepared even if they all collude with each other. Here we resolve this drawback by employing the quantum channel in terms of nonmaximally entangled states whose parameters are kept secret to all the participants but used to split the information in a judicious way so that not only absolute security in the above-mentioned sense is achieved but also the performance is the simplest possible.

Deterministic joint remote state preparation via partially entangled quantum channel

2016 ◽  
Vol 14 (03) ◽  
pp. 1650015 ◽  
Author(s):  
Na Chen ◽  
Dong-Xiao Quan ◽  
Chang-Hua Zhu ◽  
Jia-Zhen Li ◽  
Chang-Xing Pei
Keyword(s):  
Quantum Channel ◽  
Success Probability ◽  
Remote State Preparation ◽  
Entangled State ◽  
Joint Remote State Preparation ◽  
State Preparation ◽  
Single Qubit ◽  
Unit Success Probability ◽  
Channel Parameter ◽  
Partially Entangled State

In this paper, we propose a scheme for deterministic joint remote state preparation (JRSP). Two spatially separated senders intend to help a receiver remotely prepare an arbitrary single-qubit state. Four-particle partially entangled state is constructed to serve as the quantum channel. By determining right unitary operations for the senders and appropriate recovery operations for the receiver, the target state can be reestablished with unit success probability, irrespective of the channel parameter.

Controlled cyclic remote state preparation of single-qutrit equatorial states

2021 ◽  
Author(s):  
Jin Shi
Keyword(s):  
Quantum Channel ◽  
Remote State Preparation ◽  
Entangled State ◽  
State Preparation ◽  
Single Qudit

The scheme for controlled unidirectional cyclic remote state preparation of single-qutrit equatorial states is put forward. Alice, Bob, Charlie, and David share a seven-qutrit entangled state as the quantum channel. Under the control of David, Alice can remotely prepare a single-qutrit equatorial state at Bob’s site, Bob can remotely prepare a single-qutrit equatorial state at Charlie’s site, Charlie can remotely prepare a single-qutrit equatorial state at Alice’s site simultaneously. The direction of controlled unidirectional cyclic remote state preparation can be reversed by changing measured qutrits of the quantum channel. The scheme for controlled bidirectional cyclic remote state preparation of single-qutrit equatorial states is also proposed. The schemes can be generalized to controlled unidirectional and bidirectional multi-party cyclic remote state preparation of single-qudit equatorial states.

Quantum state sharing with mixing state from six-qubit entangled pure one

2020 ◽  
Vol 35 (32) ◽  
pp. 2050264
Author(s):  
Zhanjun Zhang ◽  
Hao Yuan ◽  
Chuanmei Xie ◽  
Biaoliang Ye
Keyword(s):  
Quantum State ◽  
Quantum Channel ◽  
Pure State ◽  
Essential Role ◽  
Entangled States ◽  
Entangled State ◽  
Quantum State Sharing ◽  
Mixing State ◽  
Preliminary Study

In this paper the possibility of using mixing entangled states as quantum channel to accomplish quantum state sharing (QSTS) is considered. As a preliminary study, an efficient tripartite QSTS scheme is put forward by utilizing a mixing entangled state, which is a derivative of a six-qubit entangled pure state under a two-qubit confusion. Some specific discussions about the QSTS scheme are made, including the issues of the scheme determinacy, the sharer symmetry, the scheme security and the essential role of quantum channel as well as the current experimental feasibility.

SCHEMES FOR REMOTELY PREPARING MULTIPARTITE EQUATORIAL ENTANGLED STATES IN HIGH DIMENSIONS

2004 ◽  
Vol 02 (02) ◽  
pp. 237-245 ◽  
Author(s):  
JIN-MING LIU ◽  
YU-ZHU WANG
Keyword(s):  
Single Particle ◽  
Particle Number ◽  
Remote State Preparation ◽  
Entangled States ◽  
Projective Measurement ◽  
High Dimensions ◽  
State Preparation ◽  
Orthogonal Measurement ◽  
Unit Probability

In this paper, we present two kinds of schemes for remotely preparing multiparticle d-dimensional equatorial entangled states with unit probability. It is found that the first remote state preparation scheme is realized by a multiparticle projective measurement, while the second scheme is achieved by a single particle orthogonal measurement. Each scheme can be perfectly implemented whatsoever the particle number N and the dimension d are.

PROBABILISTIC REMOTELY PREPARING AN ARBITRARY TWO-PARTICLE ENTANGLED STATE VIA POSITIVE OPERATOR-VALUED MEASURE

2008 ◽  
Vol 06 (06) ◽  
pp. 1183-1193 ◽  
Author(s):  
KUI HOU ◽  
JING WANG ◽  
SHOU-HUA SHI
Keyword(s):  
Positive Operator ◽  
Cluster State ◽  
Success Probability ◽  
Remote State Preparation ◽  
Entangled State ◽  
Classical Communication ◽  
Maximally Entangled State ◽  
State Preparation ◽  
Projective Measurements ◽  
Positive Operator Valued Measure

By means of the method of the positive operator-valued measure, two schemes to remotely prepare an arbitrary two-particle entangled state were presented. The first scheme uses a one-dimensional four-particle non-maximally entangled cluster state while the second one uses two partially entangled two-particle states as the quantum channel. For both schemes, if Alice performs two-particle projective measurements and Bob adopts positive operator-valued measure, the remote state preparation can be successfully realized with certain probability. The success probability of the remote state preparation and classical communication cost are calculated. It is shown that Bob can obtain the unknown state with probability 1/4 for maximally entangled state. However, for four kinds of special states, the success probability of preparation can be enhanced to unity.

REMOTE STATE PREPARATION IN NON-MARKOVIAN ENVIRONMENT

2012 ◽  
Vol 10 (03) ◽  
pp. 1250030 ◽  
Author(s):  
YANLIANG ZHANG ◽  
QINGPING ZHOU ◽  
GUODONG KANG ◽  
FANG ZHOU ◽  
XIAOBO WANG
Keyword(s):  
Quantum Channel ◽  
Communication Channel ◽  
Quantum Communication ◽  
Remote State Preparation ◽  
Entangled States ◽  
Particle State ◽  
Noisy Environments ◽  
Initial State ◽  
State Preparation ◽  
Over Time

We present a scheme for remote preparing a general two-particle state by two entangled states serving as the quantum communication channel. In this scheme, it is possible for the receiver to perfectly reconstruct the initial state that the sender hopes to prepare with the method of introducing an auxiliary qubit and postselection measurements in the situation of non-maximal entangled quantum channel. Furthermore, we investigate the influence of the dissipation factors on the processing of the remote state preparation when the entangled resources are in the Markovian and non-Markovian noisy environments. It is shown that the fidelity of remote state preparation is decreasing exponentially over time in Markovian environments and attenuating oscillatorily in non-Markovian. However, when the non-Markovian and the detuning conditions are satisfied simultaneously, the fidelity can be preserved at comparative high levels, effectively.

scholarly journals Experimental creation of multi-photon high-dimensional layered quantum states

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Xiao-Min Hu ◽  
Wen-Bo Xing ◽  
Chao Zhang ◽  
Bi-Heng Liu ◽  
Matej Pivoluska ◽  
...  
Keyword(s):  
Quantum Information ◽  
Quantum Entanglement ◽  
Quantum State ◽  
Quantum States ◽  
High Dimensional ◽  
Entangled States ◽  
Entangled State ◽  
Quantum Network ◽  
Quantum Networks ◽  
Qubit States

Abstract Quantum entanglement is one of the most important resources in quantum information. In recent years, the research of quantum entanglement mainly focused on the increase in the number of entangled qubits or the high-dimensional entanglement of two particles. Compared with qubit states, multipartite high-dimensional entangled states have beneficial properties and are powerful for constructing quantum networks. However, there are few studies on multipartite high-dimensional quantum entanglement due to the difficulty of creating such states. In this paper, we experimentally prepared a multipartite high-dimensional state $$\left|{\Psi }_{442}\right\rangle =\frac{1}{2}(\left|000\right\rangle +\left|110\right\rangle +\left|221\right\rangle +\left|331\right\rangle )$$ Ψ 442 = 1 2 ( 000 + 110 + 221 + 331 ) by using the path mode of photons. We obtain the fidelity F = 0.854 ± 0.007 of the quantum state, which proves a real multipartite high-dimensional entangled state. Finally, we use this quantum state to demonstrate a layered quantum network in principle. Our work highlights another route toward complex quantum networks.

scholarly journals A SUFFICIENT AND NECESSARY CONDITION FOR SUPERDENSE CODING OF QUANTUM STATES

2008 ◽  
Vol 06 (05) ◽  
pp. 1115-1125 ◽  
Author(s):  
DAOWEN QIU
Keyword(s):  
Lower Bound ◽  
Success Probability ◽  
Quantum States ◽  
Entangled States ◽  
Necessary Condition ◽  
Entangled State ◽  
Maximally Entangled State ◽  
High Success Probability ◽  
Sufficient And Necessary Condition ◽  
Arbitrary Quantum

Recently, Harrow et al. [Phys. Rev. Lett.92 (2004) 187901] gave a method for preparing an arbitrary quantum state with high success probability by physically transmitting some qubits, and by consuming a maximally entangled state, together with exhausting some shared random bits. In this paper, we discover that some states are impossible to be perfectly prepared by Alice and Bob initially sharing some entangled states. In particular, we present a sufficient and necessary condition for the states being enabled to be exactly prepared with probability equal to unity, in terms of the initial entangled states (maybe nonmaximally). In contrast, if the initially shared entanglement is maximal, then the probabilities for preparing these quantum states are smaller than unity. Furthermore, the lower bound on the probability for preparing some states are derived.

Quantum two-state sharing

2021 ◽  
pp. 2150292
Author(s):  
Peng-Cheng Ma ◽  
Gui-Bin Chen ◽  
Xiao-Wei Li ◽  
You-Bang Zhan
Keyword(s):  
Quantum Channel ◽  
Success Probability ◽  
The State ◽  
Quantum States ◽  
Entangled State ◽  
Single Qubit ◽  
Unit Success Probability

In this paper, we propose a novel scheme for quantum two-state sharing (QTSS) by using a five-qubit entangled state as the quantum channel. In this scheme, a dealer Alice has two unknown quantum states and wants her three agents to share the quantum states. After the dealer performs a four-qubit measurement on her qubits, and the controller employs a single-qubit measurement on his own qubit, the state receivers can reconstruct the original states by using the appropriate unitary operations. It is shown that, only if all agents collaborate with each other, the QTSS can be completed with unit success probability.

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