Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state

2021 ◽  
Author(s):  
Xiao-Fang Liu ◽  
Dong-Fen Li ◽  
Yun-Dan Zheng ◽  
Xiao-Long Yang ◽  
Jie Zhou ◽  
...  
Keyword(s):  
Density Matrix ◽  
Quantum State ◽  
Bell State ◽  
Third Party ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Entanglement Measure ◽  
Experimental Realization ◽  
Operation Process ◽  
Photonic States

Abstract Quantum controlled teleportation is the transmission of the quantum state under the supervision of a third party. This paper presents a theoretical and experimental combination of an arbitrary two-qubit quantum controlled teleportation scheme. In the scheme, the sender Alice only needs to perform two Bell state measurements, and the receiver Bob can perform the appropriate unitary operation to reconstruct arbitrary two-qubit states under the control of the supervisor Charlie. We verified the operation process of the scheme on the IBM Quantum Experience platform and further checked the accuracy of the transmitted quantum state by performing quantum state tomography. Meanwhile, good fidelity is obtained by calculating the theoretical density matrix and the experimental density matrix. We also introduced a sequence of photonic states to analyze the possible intercept-replace-resend, intercept-measure-resend, and entanglement-measure-resend attacks on this scheme. The results proved that our scheme is highly secure.

CONTROLLED TELEPORTATION OF AN ARBITRARY THREE-QUBIT STATE THROUGH A GENUINE SIX-QUBIT ENTANGLED STATE AND BELL-STATE MEASUREMENTS

2011 ◽  
Vol 09 (02) ◽  
pp. 763-772 ◽  
Author(s):  
YI-YOU NIE ◽  
YUAN-HUA LI ◽  
JUN-CHANG LIU ◽  
MING-HUANG SANG
Keyword(s):  
Bell State ◽  
Qubit State ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Bell State Measurements

We demonstrate that a genuine six-qubit entangled state introduced by Tapiador et al. [J. Phys. A42 (2009) 415301] can be used to realize the deterministic controlled teleportation of an arbitrary three-qubit state by performing only the Bell-state measurements.

Quantum Controlled Teleportation of Bell State Using Seven-Qubit Entangled State

2020 ◽  
Vol 59 (5) ◽  
pp. 1402-1412
Author(s):  
Jinlian Chen ◽  
Dongfen Li ◽  
Mingzhe Liu ◽  
Yanhan Yang ◽  
Qin Zhou
Keyword(s):  
Bell State ◽  
Controlled Teleportation ◽  
Entangled State

scholarly journals EFFICIENT QUANTUM CIRCUITS FOR PERFECT AND CONTROLLED TELEPORTATION OF n-QUBIT NON-MAXIMALLY ENTANGLED STATES OF GENERALIZED BELL-TYPE

2011 ◽  
Vol 09 (supp01) ◽  
pp. 389-403 ◽  
Author(s):  
ANIRBAN PATHAK ◽  
ANINDITA BANERJEE
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
Bell State ◽  
Ghz State ◽  
Quantum Circuits ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Maximally Entangled State ◽  
Tripartite Entangled State ◽  
Maximally Entangled States

An efficient and economical scheme is proposed for the perfect quantum teleportation of n-qubit non-maximally entangled state of generalized Bell-type. A Bell state is used as the quantum channel in the proposed scheme. It is also shown that the controlled teleportation of this n-qubit state can be achieved by using a GHZ state or a GHZ-like state as quantum channel. The proposed schemes are economical because for the perfect and controlled teleportation of n-qubit non-maximally entangled state of generalized Bell-type, we only need a Bell state and a tripartite entangled state respectively. It is also established that there exists a family of 12 orthogonal tripartite GHZ-like states which can be used as quantum channel for controlled teleportation. The proposed protocols are critically compared with the existing protocols.

scholarly journals Linear, Bidirectional and Circular Controlled Quantum Teleportation and Quantum State Sharing using a Seven Qubit Genuinely Entangled State

2020 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Quantum State ◽  
Quantum Teleportation ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Multipartite Entanglement ◽  
Quantum State Sharing ◽  
Controlled Quantum Teleportation ◽  
Qubit States ◽  
Resource State

Multipartite entanglement is a resource for application in disparate protocols, of computing, communication and cryptography. In this paper, generation, characterisation and application of a genuine genuinely entangled seven-qubit resource state is studied. Theoretical schemes for quantum teleportation of arbitrary one, two and three qubits states, bidirectional teleportation of arbitrary two qubit states and probabilistic circular controlled teleportation as well as three schemes for undertaking tripartite quantum state sharing are presented.

A GENERALIZED CONDITION FOR TELEPORTATION OF THE QUANTUM STATE OF AN ASSEMBLY OF N TWO-LEVEL SYSTEM

2007 ◽  
Vol 21 (29) ◽  
pp. 2019-2023 ◽  
Author(s):  
HARI PRAKASH ◽  
NARESH CHANDRA ◽  
RANJANA PRAKASH ◽  
AMBESH DIXIT
Keyword(s):  
Quantum Information ◽  
Quantum State ◽  
Unitary Transformation ◽  
Bell State ◽  
Entangled State ◽  
Level System ◽  
Bell State Measurement ◽  
Original State ◽  
State Measurement ◽  
Two Level Systems

We consider the teleportation of quantum information consisting of the quantum state of a set S1 of N two-level systems (TLSs), using EPR entangled state consisting of set S2⊕S3 where set S2 has M TLSs and set S3 has N TLSs. The Bell state measurement is done on set S1⊕S2 and a unitary transformation, dependent on this result, on the quantum state of set S3 generates a replica of the original state of set S1. We show rigorously that the teleportation is possible only if M ≥ N.

QUANTUM STATE SPLITTING WITH YEO–CHUA GENUINE ENTANGLED STATE

2010 ◽  
Vol 08 (06) ◽  
pp. 991-1000 ◽  
Author(s):  
YI-MIN LIU ◽  
WEN ZHANG ◽  
XUE-QIN ZUO ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Quantum State ◽  
Pure State ◽  
Bell State ◽  
Entangled State ◽  
Scheme Design ◽  
Single Qubit ◽  
State Splitting ◽  
Intrinsic Efficiency ◽  
Bell State Measurements ◽  
Quantum State Splitting

Utilizing the four-qubit genuine entangled state presented by Yeo and Chua [Phys. Rev. Lett.96 (2006) 060502], we propose a tripartite quantum state splitting scheme for a sender to achieve the bipartition of his/her arbitrary two-qubit pure state between two sharers. During the scheme design, two novel and important ideas originated, respectively, from Phys. Rev. A74 (2006) 054303 and J. Phys. B41 (2008) 145506 are adopted to enhance the security and optimize resource consumption, operation complexity, and intrinsic efficiency. In the scheme, first the sender performs two Bell-state measurements and publishes the results. Afterwards, if and only if the two sharers cooperate together, they can perfectly restore the sender's quantum pure state by executing first a two-qubit collective unitary operation and then two single-qubit unitary operations.

scholarly journals Twisted and untwisted negativity spectrum of free fermions

2019 ◽  
Vol 7 (3) ◽  
Author(s):  
Hassan Shapourian ◽  
Paola Ruggiero ◽  
Shinsei Ryu ◽  
Pasquale Calabrese
Keyword(s):  
Density Matrix ◽  
Order Term ◽  
Entangled State ◽  
Entanglement Measure ◽  
Great Success ◽  
Many Body ◽  
Free Fermions ◽  
Positive Partial Transpose ◽  
Logarithmic Negativity ◽  
Definition Of

A basic diagnostic of entanglement in mixed quantum states is known as the positive partial transpose (PT) criterion. Such criterion is based on the observation that the spectrum of the partially transposed density matrix of an entangled state contains negative eigenvalues, in turn, used to define an entanglement measure called the logarithmic negativity. Despite the great success of logarithmic negativity in characterizing bosonic many-body systems, generalizing the operation of PT to fermionic systems remained a technical challenge until recently when a more natural definition of PT for fermions that accounts for the Fermi statistics has been put forward. In this paper, we study the many-body spectrum of the reduced density matrix of two adjacent intervals for one-dimensional free fermions after applying the fermionic PT. We show that in general there is a freedom in the definition of such operation which leads to two different definitions of PT: the resulting density matrix is Hermitian in one case, while it becomes pseudo-Hermitian in the other case. Using the path-integral formalism, we analytically compute the leading order term of the moments in both cases and derive the distribution of the corresponding eigenvalues over the complex plane. We further verify our analytical findings by checking them against numerical lattice calculations.

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.

scholarly journals Strong NP-hardness of the quantum separability problem

2010 ◽  
Vol 10 (3&4) ◽  
pp. 343-360 ◽  
Author(s):  
S. Gharibian
Keyword(s):  
Lower Bound ◽  
Density Matrix ◽  
Quantum State ◽  
Quantum States ◽  
Entangled State ◽  
Completely Positive ◽  
Linear Map ◽  
Separability Problem ◽  
Np Hardness ◽  
Simple Combination

Given the density matrix $\rho$ of a bipartite quantum state, the quantum separability problem asks whether $\rho$ is entangled or separable. In 2003, Gurvits showed that this problem is NP-hard if $\rho$ is located within an inverse exponential (with respect to dimension) distance from the border of the set of separable quantum states. In this paper, we extend this NP-hardness to an inverse polynomial distance from the separable set. The result follows from a simple combination of works by Gurvits, Ioannou, and Liu. We apply our result to show (1) an immediate lower bound on the maximum distance between a bound entangled state and the separable set (assuming $\rm{P}\neq\rm{ NP}$), and (2) NP-hardness for the problem of determining whether a completely positive trace-preserving linear map is entanglement-breaking.

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