Abstract
In this paper, a scheme for cyclic hybrid double-channel quantum communication is proposed by using the product state of three Bell states and three Greenberger-Horne-Zeilinger (GHZ) states as the quantum channel. It shows that Alice teleports a single-qubit state to Bob and prepares a single-qubit state for Charlie, Bob teleports a single-qubit state to Charlie and prepares a single-qubit state for Alice, while Charlie teleports a single-qubit state to Alice and prepares a single-qubit state for Bob. The quantum channel is constructed by using Hadamard (H) and Controlled-NOT (CNOT) operations. Participants reconstruct the desired states by performing Bell-state measurements, single-qubit measurements, and unitary transformations. Compared with existing schemes, this new scheme improves the efficiency and capacity of quantum communication because it constructs a cyclic and bidirectional quantum communication and simultaneously supports two communication protocols, quantum teleportation and remote state preparation. Only single-qubit measurements, two-qubit measurements, and basic unitary transformations are utilized in the scheme, so our operation complexity is lower than others. Thus, the scheme is likely to be implemented through physical experiments in the future. Besides this, we discuss the impact of noisy environments (amplitude-damping, phase-damping noise, bit-flip noise, and phase-flip noise) in the scheme and calculate the fidelities of the output states. It is demonstrated that the fidelities only depend on the coefficients of the initial state and the decoherence rate.
Highlights
As a unique quantum phenomenon, quantum entanglement plays a crucial role in quantum communication because it could transmit information between places far apart without a channel connection [1]
Considerable effort has been devoted to the study of this technique from researchers, producing a number of schemes [20]–[27] and many variants of remote state preparation (RSP) schemes, such as controlled RSP (CRSP) [28]–[30], controlled bidirectional RSP (CBRSP) [31]–[33], and joint RSP (JRSP) [34], [35]
The product state of three Bell-state and three GHZ-state was constructed by H and CNOT operations and used as the quantum channel
Summary
As a unique quantum phenomenon, quantum entanglement plays a crucial role in quantum communication because it could transmit information between places far apart without a channel connection [1]. The cost of classical communication is lower For this reason, considerable effort has been devoted to the study of this technique from researchers, producing a number of schemes [20]–[27] and many variants of RSP schemes, such as controlled RSP (CRSP) [28]–[30], controlled bidirectional RSP (CBRSP) [31]–[33], and joint RSP (JRSP) [34], [35]. In 2018, Zhang et al [36] and Sang et al [37] presented two schemes for cyclic RSP by respectively using three multi-qubit GHZ-type states and a ten-qubit entangled state as the quantum channel. Where β0, β1, b0, b1, ε0, and ε1(ε0, ε1 ∈ [0, 2π ) )are real numbers, satisfying the normalization conditions |β0|2 +
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