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Laser Physics Letters

Non-maximally hybrid entangled state as quantum channel for quantum teleportation of single-rail qubit

Mikhail S. Podoshvedov, Sergey A. Podoshvedov

Published Apr 1, 2026• 0 citations
Publisher

Abstract

Abstract A protocol for quantum teleportation of an unknown single-rail qubit through the non-maximally entangled hybrid state is proposed. The hybrid quantum channel consists of continuous variable (CV) states of certain parity and photonic states and is characterized by two parameters: a squeezing parameter of single-mode squeezed vacuum state and the beam splitter (BS) parameter, on which the entangled state can be realized. The CV part of the hybrid state is in Alice’s location, while discrete variable half is controlled by Bob. A balanced BS is used to mix the CV part of the hybrid quantum state with an unknown optical single-rail qubit, followed by measurement of the number of photons in two measuring channels. Proper choice of the hybrid entangled state parameter values compensates for the initial amplitude distortion coefficient of the entangled state by the induced factor, so that Bob can obtain the initial qubit in the case of single photon measurement. With other measurement outcomes, Bob can obtain a qubit that has already undergone a unitary transformation, which he can use to teleport to other participants. We show that the proposed method is a generalization of quantum teleportation of single rail qubit via a nonlocal photon acting as a quantum channel.

DOI
10.1088/1612-202x/ae56fb

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Abstract A protocol for quantum teleportation of an unknown single-rail qubit through the non-maximally entangled hybrid state is proposed. The hybrid quantum channel consists of continuous variable (CV) states of certain parity and photonic states and is characterized by two parameters: a squeezing parameter of single-mode squeezed vacuum state and the beam splitter (BS) parameter, on which the entangled state can be realized. The CV part of the hybrid state is in Alice’s location, while discrete variable half is controlled by Bob. A balanced BS is used to mix the CV part of the hybrid quantum state with an unknown optical single-rail qubit, followed by measurement of the number of photons in two measuring channels. Proper choice of the hybrid entangled state parameter values compensates for the initial amplitude distortion coefficient of the entangled state by the induced factor, so that Bob can obtain the initial qubit in the case of single photon measurement. With other measurement outcomes, Bob can obtain a qubit that has already undergone a unitary transformation, which he can use to teleport to other participants. We show that the proposed method is a generalization of quantum teleportation of single rail qubit via a nonlocal photon acting as a quantum channel.
We develop a quantum teleportation protocol of an unknown optical single rail qubit using a hybrid quantum channel composed of continuous variable (CV) states of certain parity. The quantum channel is characterized by two parameters: a squeezing parameter of single-mode squeezed vacuum (SMSV) state and the beam splitter (BS) parameter used to implement it. The CV part of the hybrid state belongs to Alice, while discrete variable (DV) half is controlled by Bob. The third parameter of the protocol is a parameter of the beam splitter, used to mix the CV components of the hybrid quantum state with unknown optical single-rail qubit. Even though the number of measurement results Alice sends may increase, Bob can obtain the original qubit half the time with an appropriate choice of parameter values. In almost half the remaining cases, Bob obtains the original qubit with distorted amplitudes, and both participants know the value of the distortion factors. This means that as the amount of classical information transmitted by Alice increases, they both gain greater access to partial information about the unitary transformations that the teleported qubits undergo, allowing Bob to continue using them or attempt to recover them to improve the protocol's efficiency. The proposed method is a generalization of quantum teleportation with a nonlocal photon used as a quantum channel and unknown single-rail optical qubit.
Abstract Quantum teleportation of an unknown state basing on the interaction between discrete-valued states (DV) and continuous-valued states (CV) presented a particular challenge in quantum technologies. Here we consider the problem of controlled quantum teleportation of an amplitude-matched CV qubit, encoded by a coherent state of a varied phase as a superposition of the vacuum- and single-photon optical states among two distant partners Alice and Bob, with the consent of controller, Charlie. To achieve this task, we use an hybrid tripartite entangled state (interaction between the discrete and continuous variables states) as the quantum resource where the coherent part belongs to Alice, while the single-photon belongs to Bob and Charlie and the CV qubit is at the disposal of Alice. The discrete-continuous interaction is realized on highly transmissive beam-splitter. We have shown that the perfectly of teleportation fidelity depends on the phase difference between the phase of the state to teleport and the phase of the sender’s mode, we found that for a difference which approaches 0 or π , near perfect controlled quantum teleportation can be obtained in terms of the fidelity and independently of the amplitude α and the squeezing parameter ζ . Experimentally, this proposed scheme has been implemented using linear optical components such as beam splitter, phase shifters and photon counters.
We suggest implementation of quantum teleportation protocol of unknown qubit beyond Bell states formalism. Hybrid entangled state composed of coherent components that belong to Alice and dual-rail single photon at Bob disposal is used. Nonlinear effect on the teleported state is realized due to peculiarity of interaction of coherent components with discrete variable state on a beam splitter. Bob performs unitary transformation after receiving the appropriate classical information. The protocol is nearly deterministic but the output state is subject to amplitude distortion which reduces the fidelity of the protocol. Final problem is reduced to finding a way to get rid of amplitude-distorting factor to restore the original qubit. Some strategies to increase the fidelity of the protocol are used. We show the teleportation can be implemented with arbitrary settings. Our approach is applicable to different basic number states of original unknown qubit. The scheme is realized by linear optics methods and requires an irreducible number of optical elements.
We propose and develop the theory of quantum teleportation of an unknown qubit based on the interaction mechanism between discrete-variable (DV) and continuous-variable (CV) states on highly transmissive beam splitter (HTBS). This DV-CV interaction mechanism is based on the simultaneous displacement of the DV state on equal in absolute value, but opposite in sign displacement amplitudes by coherent components of the hybrid in such a way that all the information about the displacement amplitudes is lost with subsequent registration of photons in the auxiliary modes. The relative phase of the displaced unknown qubit in the measurement number state basis can vary on opposite, depending on the parity of the basis states in the case of the negative amplitude of displacement that is akin to action of nonlinear effect on the teleported qubit. All measurement outcomes of the quantum teleportation are distinguishable, but the teleported state at Bob's disposal may acquire a predetermined amplitude-distorting factor. Two methods of getting rid of the factors are considered. The quantum teleportation is considered in various interpretations. A method for increasing the efficiency of quantum teleportation of an unknown qubit is proposed.
Abstract We theoretically implement the protocol of continuous variable quantum teleportation wherein Alice and Bob share a state built by a linear beam splitter as general two-mode Gaussian entangled state. Using the non-classicality and purity of the two single-mode Gaussian states employed initially at the input of the beam splitter, the unknown state teleportation protocol is explicitly implemented in terms of squeezing and phase space quadratures. We show that fidelity of the teleported state is maximal when the gain factor g is equal to 1 and gradually decreases when g deviates from 1 on either side. We further find that teleportation fidelity decreases when one of the input states of the beam splitter is replaced by the state of thermal photons.
We consider implementation of a quantum teleportation protocol of an unknown qubit with an entangled hybrid state. Coherent components of the entangled hybrid state displace the teleported qubit at the same absolute but opposite in sign values, so that any information about the amount by which the qubit is displaced is lost despite the fact that one of these events has definitely occurred. Alice unambiguously distinguishes her measurement outcomes and Bob obtains at his disposal states of a single photon in superposition of two modes with controllable amplitude distortions. We consider the implementation of this protocol with a third participant who off-line prepares amplitude modulated (AM) unknown qubits and hands them to Alice for teleportation. In particular, highly unbalanced unknown qubits can be teleported with success probability close to 1. We also consider some ways of demodulating AM states by the receiver in order to increase the success probability of the teleportation of unknown qubits.