Controlled remote implementation of operators via hyperentanglement

An, Nguyen Ba; Cao, Bich Thi

doi:10.1088/1751-8121/ac68b2

Cited by 11 publications

(3 citation statements)

References 74 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We are interested in a task involving three distant parties Alice, Bob and Charlie. This task uses the same quantum resource as in [13] but its aim is totally different from that of [13]. Alice has a photon X with definite polarization but propagating simultaneously along two distinct spatial paths.…”

Section: The Task Of Concernmentioning

confidence: 99%

See 1 more Smart Citation

Joint remote implementation of operators

2022

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

We propose a deterministic protocol for three distant parties to cooperate so that two parties can implement their secret unitary operators on the third party’s secret quantum state via shared quantum channel assisted by cross-Kerr nonlinearities. The operators are of general form while the state may be encoded either in spatial degree of freedom or polarization degree of freedom. The quantum channel is served by a three-photon hyperentangled state establishing the minimum of consumed photon number for this type of task. This protocol can be named joint remote implementation of operators which is necessary for distributed quantum tasks throughout a quantum network.

show abstract

Section: The Task Of Concernmentioning

confidence: 99%

“…Recently, two-photon four-qubit hyperentangled states were also employed for RIO [12]. A more detailed information on RIO can be found in the introduction section of [13] which addresses controlled remote implementation of operators.…”

Section: Introductionmentioning

confidence: 99%

Joint remote implementation of operators

2022

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

show abstract

“…[24][25][26] As for CRIO, it has been realized in terms of partially unknown quantum operations, [16,27] various classes of bipartite unitary operations, [28] arbitrary dimensional controlled phase gate, [29] and operators on different remote photon states. [30] Entangled states including Bell, Greenberger-Horne-Zeilinger (GHZ), and five-qubit cluster states are employed as channels in these protocols. Theoretically, many of these protocols can hardly be scalable, or technically complicated.…”

Section: Introductionmentioning

confidence: 99%

Controlled Remote Implementation of Operations via Graph States

Qiu,

Chen

2023

Annalen der Physik

View full text Add to dashboard Cite

Protocols are proposed for controlled remote implementation of operations here. Sharing a ‐partite graph state, 2N participants collaborate to prepare the stator and realize the operation on N unknown states for distributed systems , only with the permission of a controller. The control power analysis shows that without the controller's permission, eight specified operations can be implemented with the success rate of 50%, other operations can be realized with the success rate of 25%, and thus the control power is reliable. All the implementation requirements of this protocol can be satisfied by means of local operations and classical communications, and the experimental feasibility is presented according to current techniques. The entanglement requirement of this protocol is characterized in terms of geometric measure of entanglement. It turns out to be economic to realize the control function from the perspective of entanglement cost.

show abstract

Remote Implementation of Particular Subsets of Operations in two Degrees of Freedom

Wang,

Cao,

2024

Adv Quantum Tech

View full text Add to dashboard Cite

Hyperentanglement of photon systems is a fascinating resource in long‐distance quantum information processing and communication for its improvement to the channel capacity. Remote implementation of quantum operation (RIO) using a hyperentangled state has attracted much attention for its critical role in many quantum applications. In this study, a protocol for the remote implementation of particular subsets of operations exploiting a pair of photons hyperentangled in their polarization and time‐bin degrees of freedom (DOFs) is presented. The core of this scheme is to construct polarization and time‐bin parity‐check quantum nondemolition detectors (QNDs), which mainly rely on the effective cross‐Kerr nonlinear interaction and X homodyne measurements. The efficiency of the scheme is calculated in terms of bits of transmission and consumption. Compared with the RIO using the polarization‐spatial‐mode hyperentangled state, the present scheme saves resources since there is no requirement for two paths for each photon. Further, given some applicable experimental parameters, the fidelity due to the effect of decoherence in the circuits is analyzed, and the result demonstrates a high fidelity in the presence of photon dissipation. Since the time‐bin DOF is more robust over a channel, especially from space to earth, this RIO protocol presents a promising approach for building a global quantum‐communication network.

show abstract

Controlled remote implementation of operators via hyperentanglement

Cited by 11 publications

References 74 publications

Joint remote implementation of operators

Joint remote implementation of operators

Controlled Remote Implementation of Operations via Graph States

Remote Implementation of Particular Subsets of Operations in two Degrees of Freedom

Contact Info

Product

Resources

About