scholarly journals Entangled state generation via quantum walks with multiple coins

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Meng Li ◽  
Yun Shang
Keyword(s):  
Bell State ◽  
Quantum Secret Sharing ◽  
Quantum Tomography ◽  
Entanglement Swapping ◽  
Quantum Walks ◽  
Ghz State ◽  
Entangled State ◽  
Experimental Realization ◽  
Technology Applications ◽  
State Generation

AbstractGeneration of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols. However, perfect Bell measurements for qudits, the key to entanglement swapping, have been proven impossible to achieve by using only linear elements and particle detectors. To avoid this bottleneck, we propose a scheme to generate entangled state including two-qubit entangled state, two-qudit entangled state, three-qubit GHZ state and three-qudit GHZ state between several designate parties via the model of quantum walks with multiple coins. Then we conduct experimental realization of Bell state and three-qubit GHZ state between several designate parties on IBM quantum platform and the result has high fidelity by performing quantum tomography. In the end, we give a practical application of our scheme in multiparty quantum secret sharing.

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.

Semi-quantum secret sharing protocol using W-state

2019 ◽  
Vol 34 (27) ◽  
pp. 1950213 ◽  
Author(s):  
Chia-Wei Tsai ◽  
Chun-Wei Yang ◽  
Narn-Yih Lee
Keyword(s):  
Secret Sharing ◽  
Bell State ◽  
Quantum Secret Sharing ◽  
Ghz State ◽  
W State ◽  
Important Research ◽  
Entanglement Property ◽  
Entanglement State ◽  
Entanglement States ◽  
Quantum Protocol

Quantum secret sharing protocol, which lets a master share a secret with his/her agents and the agents can recover the master’s secret when they collaborate, is an important research issue in the quantum information field. In order to make the quantum protocol more practical, the concept of semi-quantum protocol is advanced by Boyer et al. Based on this concept, many semi-quantum secret sharing protocols have been proposed. The various entanglement states (including Bell state, GHZ state and so on) were used to be the quantum resources in these SQSS protocols, except for W-state which is the other multi-qubit entanglement state and different from GHZ states. Therefore, this study wants to use the entanglement property of W-state to propose the first three-party SQSS protocol and analyze the proposed protocol is free from the well-known attacks.

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.

THE TELEPORTATION OF AN ARBITRARY TWO-ATOM ENTANGLED STATE IN DRIVEN CAVITY QED

2007 ◽  
Vol 05 (03) ◽  
pp. 359-366 ◽  
Author(s):  
CHUAN-JIA SHAN ◽  
ZHONG-XIAO MAN ◽  
YUN-JIE XIA ◽  
TANG-KUN LIU
Keyword(s):  
Cavity Qed ◽  
Thermal Field ◽  
Bell State ◽  
Ghz State ◽  
Entangled State ◽  
Driven Cavity ◽  
Bell State Measurement ◽  
State Measurement ◽  
Cavity Decay ◽  
Probability Of Success

We propose a scheme for the teleportation of an arbitrary two-atom entangled state |ϕ〉12 = a|gg〉12 + b|ge〉12 + c|eg〉12 + d|ee〉12 in driven QED. Two pairs of maximally two-atom entangled state are required as the quantum channel. This scheme does not involve apparent (or direct) Bell-state measurement and is insensitive to the cavity decay and the thermal field. Meanwhile this approach can be used to teleport the unknown multipartite GHZ state. The probability of success in our scheme can reach 1.0.

PERFECT TELEPORTATION OF UNKNOWN QUDIT BY A d-LEVEL GHZ CHANNEL

2009 ◽  
Vol 07 (04) ◽  
pp. 755-770 ◽  
Author(s):  
YINXIANG LONG ◽  
DAOWEN QIU ◽  
DONGYANG LONG
Keyword(s):  
General Scheme ◽  
Bell State ◽  
Ghz State ◽  
Quantum States ◽  
Entangled State ◽  
Input State ◽  
Quantum Channels ◽  
Maximally Entangled State ◽  
Ghz States ◽  
Measurement Basis

In the past decades, various schemes of teleportation of quantum states through different types of quantum channels (a prior shared entangled state between the sender and the receiver), e.g. EPR pairs, generalized Bell states, qubit GHZ states, standard W states and its variations, genuine multiqubit entanglement states, etc., have been developed. Recently, three-qutrit quantum states and two-qudit quantum states have also been considered as quantum channels for teleportation. In this paper, we investigate the teleportation of an unknown qudit using a d level GHZ state, i.e. a three-qudit maximally entangled state, as quantum channel. We design a general scheme of faithful teleportation of an unknown qudit using a d-level GHZ state shared between the sender and the receiver, or among the sender, the receiver and the controller; an unknown two-qudit of Schmidt form using a d level GHZ state shared between the sender and the receiver; as well as an unknown arbitrary two-qudit using two shared d level GHZ states between the sender, the receiver and the controller, or using one shared d level GHZ state and one shared generalized Bell state. We obtain the general formulas of Alice's measurement basis, Charlie's measurement basis and Bob's unitary operations to recover the input state of Alice. It is intuitionistic to generalize the protocols of teleporting an arbitrary two-qudit state to teleporting an arbitrary n-qudit state.

scholarly journals Photonic hybrid state entanglement swapping using cat state superpositions

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200237
Author(s):  
Ryan C. Parker ◽  
Jaewoo Joo ◽  
Timothy P. Spiller
Keyword(s):  
Success Probability ◽  
Bell State ◽  
Continuous Variable ◽  
Entanglement Swapping ◽  
Entangled State ◽  
Entanglement Purification ◽  
Hybrid State ◽  
Fock State ◽  
Purification Scheme ◽  
Low Levels

We propose the use of hybrid entanglement in an entanglement swapping protocol, as means of distributing a Bell state with high fidelity to two parties. The hybrid entanglement used in this work is described as a discrete variable (Fock state) and a continuous variable (cat state super- position) entangled state. We model equal and unequal levels of photonic loss between the two propagating continuous variable modes, before detecting these states via a projective vacuum-one-photon measurement, and the other mode via balanced homodyne detection. We investigate homodyne measurement imperfections, and the associated success probability of the measurement schemes chosen in this protocol. We show that our entanglement swapping scheme is resilient to low levels of photonic losses, as well as low levels of averaged unequal losses between the two propagating modes, and show an improvement in this loss resilience over other hybrid entanglement schemes using coherent state superpositions as the propagating modes. Finally, we conclude that our protocol is suitable for potential quantum networking applications which require two nodes to share entanglement separated over a distance of 5 -- 10   km , when used with a suitable entanglement purification scheme.

Quantum computation and entangled state generation through a cavity output process

Open Physics ◽  
2011 ◽  
Vol 9 (5) ◽  
Author(s):  
Yan Xia ◽  
Chun Hu ◽  
Jie Song ◽  
He-Shan Song
Keyword(s):  
Quantum Computation ◽  
Quantum Phase ◽  
Entangled States ◽  
Entangled State ◽  
Output Process ◽  
Experimental Realization ◽  
Cavity Output ◽  
State Generation ◽  
Entangled State Generation

AbstractWe propose a protocol to realize quantum phase gates and generate entangled states between two atoms trapped in one cavity. In Lamb-Dick limits, it is not necessary to require coincidence detections, which will relax the conditions for the experimental realization. The protocol can be generalized to generate N-atom entangled states.

MULTIPARTY QUANTUM SECRET SHARING SCHEME OF CLASSICAL MESSAGES BY SWAPPING QUDIT-STATE ENTANGLEMENT

2007 ◽  
Vol 18 (12) ◽  
pp. 1885-1901 ◽  
Author(s):  
ZHAN-JUN ZHANG ◽  
YI-MIN LIU ◽  
MING FANG ◽  
DONG WANG
Keyword(s):  
Secret Sharing ◽  
Bell State ◽  
Quantum Secret Sharing ◽  
Entanglement Swapping ◽  
Entangled States ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Code Capacity ◽  
Quantum Secret Sharing Scheme

A multiparty quantum secret sharing scheme based on Bell-state entanglement swapping [Z. J. Zhang and Z. X. Man (2005)] is generalized to the qutrit case, that is, with qutrit-pair entangled states we propose a multiparty quantum secret sharing (QSS) scheme of classical messages by swapping qutrit-state entanglement. The security of our scheme is analyzed and confirmed with respect to some attacks. Compared to the scheme being generalized, this scheme possesses the distinct advantages of higher code capacity and higher security. Moreover, the generalization of the scheme to the qudit case is also outined.

Entanglement

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Physical Condition ◽  
Physical System ◽  
Polarization State ◽  
Quantum Systems ◽  
Ghz State ◽  
Mathematical Representation ◽  
Entangled State ◽  
Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

scholarly journals Demonstrating the power of quantum computers, certification of highly entangled measurements and scalable quantum nonlocality

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Elisa Bäumer ◽  
Nicolas Gisin ◽  
Armin Tavakoli
Keyword(s):  
Quantum Computer ◽  
Outcome Measurement ◽  
Bell State ◽  
Bell Inequalities ◽  
Quantum Correlations ◽  
Entanglement Swapping ◽  
Quantum Nonlocality ◽  
Quantum Computers ◽  
Classical Models ◽  
Quantum Phenomena

AbstractIncreasingly sophisticated quantum computers motivate the exploration of their abilities in certifying genuine quantum phenomena. Here, we demonstrate the power of state-of-the-art IBM quantum computers in correlation experiments inspired by quantum networks. Our experiments feature up to 12 qubits and require the implementation of paradigmatic Bell-State Measurements for scalable entanglement-swapping. First, we demonstrate quantum correlations that defy classical models in up to nine-qubit systems while only assuming that the quantum computer operates on qubits. Harvesting these quantum advantages, we are able to certify 82 basis elements as entangled in a 512-outcome measurement. Then, we relax the qubit assumption and consider quantum nonlocality in a scenario with multiple independent entangled states arranged in a star configuration. We report quantum violations of source-independent Bell inequalities for up to ten qubits. Our results demonstrate the ability of quantum computers to outperform classical limitations and certify scalable entangled measurements.

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