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Modern Physics Letters A

Quantum state transfer through system-environment correlation

Yao Jin

Published Jan 18, 2024• 2 citations
Publisher

Abstract

Quantum state transfer protocol based on system-environment correlation is studied. Different from that in protocol of quantum teleportation, in the present transfer protocol, parties do not share entangled state initially. The state factors are transmitted among parties through their common memory-environment. Explicitly, with the generation of system-environment correlation, state factors parameterized on the probe system can be transmitted to the environment by performing proper projective measurement on the probe system. Then after knowing the results of former measurements, other parties can estimate the state factors by preparing proper detectors that evolve with the memory environment for a proper period of time. In this regard, quantum state is transmitted among different parties through system-environment correlation. Since quantum decoherence appears along with the generation of system-environment correlation, using the present transfer protocol, one can transmit quantum state even after the characteristic time of quantum decoherence.

DOI
10.1142/s0217732323501948

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Quantum state transfer protocol based on system-environment correlation is studied. Different from that in protocol of quantum teleportation, in the present transfer protocol, parties do not share entangled state initially. The state factors are transmitted among parties through their common memory-environment. Explicitly, with the generation of system-environment correlation, state factors parameterized on the probe system can be transmitted to the environment by performing proper projective measurement on the probe system. Then after knowing the results of former measurements, other parties can estimate the state factors by preparing proper detectors that evolve with the memory environment for a proper period of time. In this regard, quantum state is transmitted among different parties through system-environment correlation. Since quantum decoherence appears along with the generation of system-environment correlation, using the present transfer protocol, one can transmit quantum state even after the characteristic time of quantum decoherence.
We study bidirectional teleportation while explicitly taking into account a mixed environment. This environment initially causes pure dephasing decoherence of the Bell state which assists teleportation. We find that when teleportation is performed in one direction it is accompanied by a transfer of correlations into the teleported qubit state. In the other direction, if no new decoherence process occurs then not only the state of the qubit, but also its correlations with the environment are teleported with unit fidelity. These processes do not depend on the measurement outcome during teleportation and do not differentiate between classical and quantum decoherence. If, on the other hand, the second teleportation step is preceded by decoherence of the Bell state then the situation is much more complicated. Teleportation and transfer of correlations occur simultaneously, yielding different teleported qubit-environment states for different measurement outcomes. These states can differ in the degree of coherence of the teleported qubit, but only for an entangling Bell-state-environment interaction in the first step can they have different amounts of qubit-environment entanglement. In the extreme case, one of the teleported qubit states can be entangled with the environment while the other is separable.
Quantum teleportation represents a groundbreaking technique in quantum information science that allows for the transfer of quantum states between distant parties without physically transmitting the particle itself. This phenomenon relies heavily on quantum entanglement, where the states of two particles become correlated in such a way that the state of one can be immediately known by measuring the other. This article explores the role of entangled states in quantum teleportation, explaining their fundamental importance, the mechanisms of their creation, and the practical implications for future quantum communication systems. Furthermore, it examines the theoretical models and experimental implementations that demonstrate the viability of quantum teleportation.
Quantum information protocols are often designed in the ideal situation with no decoherence. However, in real setup, these protocols are subject to the decoherence and thus reducing fidelity of the measurement outcome. In this work, we analyze the effect of state-dependent bath on the quantum correlations and the fidelity of a single qubit teleportation. We model our system-bath interaction as qubits interacting with a common bath of bosons, and the state dependence of the bath is generated through a projective measurement on the joint state in thermal equilibrium. The analytic expressions for the time evolution of entanglement, discord and average fidelity of quantum teleportation are calculated. It is shown that due to the presence of initial system-bath correlations, the system maintains quantum correlations for long times. Furthermore, due to the presence of finite long-time entanglement of the quantum channel, the average fidelity is shown to be higher than its classical value.
Quantum channel teleporting one party of a bipartite entangled state is considered. It is assumed that resource is coupled to thermal decohering (dissipative and/or pure dephasing) environment. We investigate both the fidelity of the channel and its ability to swap the initial correlation to the final state of the system in which subsystems did not interact directly. We qualify the correlations by negativity and quantum discord. We show that the correlation loss defined as a difference between values of the correlation measure for the teleported state and the resource vanishes for certain choice of parameters at certain time instants. Moreover, the perfect transmission of entanglement takes place in the case when the resource qubits have the same energy splitting.
Abstract Quantum decoherence caused by the interaction between the quantum system and the environment is the most limiting factor for the applications of quantum teleportation. In this paper, investigated are the dynamic behavior of the coherence of the entangled source and the fidelity of the teleportation for two non‐inertial moved parties suffering the quantum noise induced by the background quantum fields, and a general protection scheme using weak measurements is provided. Explicitly, comparing the cases of using the initial state as well as the initial state , the coherence of the entangled state and teleportation fidelity with and without probabilistic weak measurements are studied. The results show that the decoherence caused by the thermalization of the two parties induced by their non‐inertial movements can be eliminated. The coherence and fidelity can be totally recovered with proper weak measurements and the optimal weak values are shown in relation with the spontaneous emission and excitation rates of the systems. However, the successful probability in the case of using the initial state is found to be much larger than that in the case of using the state and the preweak measurement is not needed with the initial state .
We investigate the effect of initial system-environment correlations to improve the estimation of environment parameters. By employing various physical situations of interest, we present results for the environment temperature and system-environment coupling strength. We consider the spin-spin model whereby a probe (a small controllable quantum system) interacts with a bath of quantum spins and attains a thermal equilibrium state. A projective measurement is then performed to prepare the initial state and allow it to evolve unitarily. The properties of the environment are imprinted upon the dynamics of the probe. The reduced density matrix of the probe state contains a modified decoherence factor and dissipation. This additional factor acts in such a way to improve the estimation of the environment parameters, as quantified by the quantum Fisher information (QFI). In the temperature estimation case, our results are promising as one can improve the precision of the estimates by orders of magnitude by incorporating the effect of initial correlations. The precision increases in the strong coupling regime even if the nearest neighbours' interaction is taken into account. In the case of coupling strength, interestingly the accuracy was found to be continuously increasing in both with and without correlations cases. More importantly, one can see the noticeable role of correlations in improving precision, especially at low temperatures.