Abstract
Performance of an entangled quantum channel is affected by classical feedback assisted in quantum communications. For example, in quantum-gate teleportation schemes, the capacity of an independent entangled quantum channel is reduced by utilizing two-way simultaneous classical communication (TWSCC↔). However, by exploiting the superposition of high-dimensional quantum channels, the transmission efficiency of the quantum-gate teleportation can be dramatically improved with TWSCC↔. In this study, we investigate the possibility of achieving an efficient scheme of nonlocal high-dimensional quantum computation by using hyperentangled photon pairs, atoms, and an optical micro-resonator coupled system. The feasibility and efficiency of the scheme are also discussed. Results prove that, for nonlocal quantum computing, high-dimensional quantum operation performs better than traditional methods that decompose the high-dimensional Hilbert space into two-dimensional quantum space under limited prior shared maximally entangled resources.
Highlights
Entanglement is an important resource that is widely used in quantum information processing [1], such as distributed quantum computation [2]–[4] and quantum cryptography [5]–[11]
The two-qubit controlled-Not (CNOT) gate [1] can be teleported from the controller (Alice) to the controllee (Bob) with a prior-shared two-dimensional maximally entangled Bell state and two-way simultaneous classical communication (TWSCC↔)
We investigate the possibility of achieving an efficient nonlocal high-dimensional quantum computation by using hyperentangled photon pairs, assisted with the atoms and optical-microresonator coupled system
Summary
Entanglement is an important resource that is widely used in quantum information processing [1], such as distributed quantum computation [2]–[4] and quantum cryptography [5]–[11]. With nonlocal maximal entanglement and one-way classical communication, one can teleport an unknown quantum state without moving the particle itself [12]. The two-qubit controlled-Not (CNOT) gate [1] can be teleported from the controller (Alice) to the controllee (Bob) with a prior-shared two-dimensional maximally entangled Bell state and two-way simultaneous classical communication (TWSCC↔). [15], two or more two-dimensional gates, which form a controlled abelian group, can be simultaneously teleported with only one prior two-dimensional maximally entangled Bell state assisted by TWSCC↔ methods. The transmission time is doubled by consuming only one prior-shared two-dimensional maximally entangled Bell state with other two-way classical communication (TWCC) methods. By exploiting the superposition of high-dimensional entanglement-assisted channels, one can improve the quantum-gate teleportation capacity of the prior-shared entanglement with TWSCC↔ method dramatically under limited prior-shared maximally entangled resources. The efficiency of the quantum gate-teleportation can be improved by exploiting the superposition of high-dimensional quantum channels with TWSCC↔
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