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Chinese Physics B

Investigating maximal steered coherence under the common impacts of reservoir and noise

Ling-Ling Xing, Huan Yang, Gang 刚 Zhang 张

Published Mar 3, 2025• 0 citations
Publisher

Abstract

Abstract Maximal steered coherence (MSC) is a noteworthy resource measure in the field of quantum information, and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoids (QSEs). Here, we explore the MSC of a two-qubit X state under the common influences of reservoir and noise. The results disclose that the introduction of auxiliary qubits can give rise to enhancement of the MSC in both the strong and weak coupling regimes. Moreover, more auxiliary qubits can decrease the oscillation period of the MSC, and also suppress the oscillation amplitude of the MSC in the strong coupling regime. In contrast, the increases in auxiliary qubits result in the oscillation of the MSC for the setting of the initially weak coupling regime. Of particular interest is that the improvement effects of more auxiliary qubits on the MSC in the initially weak coupling regime are significantly stronger than that in the initially strong coupling regime.

DOI
10.1088/1674-1056/adbbc2

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Abstract Maximal steered coherence (MSC) is a noteworthy resource measure in the field of quantum information, and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoids (QSEs). Here, we explore the MSC of a two-qubit X state under the common influences of reservoir and noise. The results disclose that the introduction of auxiliary qubits can give rise to enhancement of the MSC in both the strong and weak coupling regimes. Moreover, more auxiliary qubits can decrease the oscillation period of the MSC, and also suppress the oscillation amplitude of the MSC in the strong coupling regime. In contrast, the increases in auxiliary qubits result in the oscillation of the MSC for the setting of the initially weak coupling regime. Of particular interest is that the improvement effects of more auxiliary qubits on the MSC in the initially weak coupling regime are significantly stronger than that in the initially strong coupling regime.
Abstract In this work, by employing quantum steering ellipsoid (QSE) pictures, we investigate the dynamical characteristics of maximal steered coherence (MSC) and concurrence for an arbitrary Bell-diagonal state when the qubit-system suffers from canonical noisy channels, such as phase damping, bit flip and bit-phase flip channels. It has been found that the MSC is equal to the longest semiaxis length of the QSEs. Remarkably, the QSEs have an invariant semiaxis length under these mentioned unital channels. The dynamical behavior of MSC is dependent of the initial ellipsoid shape, and MSC is frozen to the length of invariant semiaxis ultimately. The time of frozen MSC can be derived by means of QSEs. Moreover, one can obtain that the concurrence depends on the sum of three semiaxis lengths of QSEs under these unital channels. Interestingly, the concurrence will be sudden death, if the sum of three semiaxis lengths is equal to 1. Additionally, we conclude that the time of entanglement sudden death can be deduced via QSE pictures.
Abstract The remote control of coherence is a crucial step for its application in quantum computation. The maximal steered coherence (MSC) and its conversion to entanglement in multiple bosonic reservoirs are investigated. It is shown that the MSC decays with time in the Markovian regime and behaves as damped oscillations in the non‐Markovian regime. The MSC can also be connected directly to the strength of non‐Markovianity, through which it is shown that it can be noticeably enhanced by taking full advantage of the non‐Markovian effects. Besides, the MSC can be converted completely to entanglement via optimal incoherent operation applied to the steered qubit and an incoherent ancilla which is immune to decoherence, and the generated entanglement is stronger than the shared entanglement in prior. These findings suggest a potential way for remotely generating and manipulating coherence and entanglement in noisy environments.
Abstract The nonlocal advantage of quantum coherence (NAQC), quantum coherence (QC), and quantum entanglement are promising quantum resources to achieve various quantum information tasks. However, the decoherence of quantum resource is detrimental to the implementation of quantum information processing, and it brings enormous challenge to the application of quantum resource. Here, consider that Alice and Bob possess a two-qubit X state, and the two-qubit X state is composed of two atoms. Bob’s atom interacts with a reservoir, and Alice's atom is subjected to the influence of amplitude damping channel. We design an effective scheme by coupling auxiliary qubits with reservoir, and this scheme can significantly suppress the dissipation of the NAQC, QC, and quantum entanglement. The results reveal that the NAQC, QC, and quantum entanglement degenerate with the increase of time t in the strong coupling regime or weak coupling regime when absenting auxiliary qubits. If one adds some auxiliary qubits in the reservoir, these quantum resources can be strengthened both in the strong coupling regime and weak coupling regime. Auxiliary qubits can help us effectively resist the dissipation of these quantum resources. In comparison with the QC and quantum entanglement, the NAQC is most fragile and it is most vulnerable to the influences of reservoir and noise channel. One needs introduce more auxiliary qubits to suppress the dissipation of the NAQC, especially in the scenarios of the weak coupling regime and strong channel parameter. In this sense, our investigations may provide a potent technique for restraining decoherence and offer a new platform for quantum resource application.
Abstract In the past two decades, the exploration of quantumness within Schwarzschild spacetime has garnered significant interest, particularly regarding the Hawking radiation’s impact on quantum correlations and quantum coherence. Building on this foundation, we investigate how Hawking radiation influences maximal steered coherence (MSC)-a crucial measure for gauging the ability to generate coherence through steering. We find that as the Hawking temperature increases, the physically accessible MSC degrade while the unaccessible MSC increase. This observation is attributed to a redistribution of the initial quantum correlations, previously acknowledged by inertial observers, across all bipartite modes. In particular, we find that in limit case that the Hawking temperature tends to infinity, the accessible MSC equals to 1/21/\sqrt{2}1/2​ 1 / 2 of its initial value, and the unaccessible MSC between mode A and B‾\overline{B}B B ¯ also equals to the same value. Our findings illuminate the intricate dynamics of quantum information in the vicinity of black holes, suggesting that Hawking radiation plays a pivotal role in reshaping the landscape of quantum coherence and entanglement in curved spacetime. This study not only advances our theoretical understanding of black hole thermodynamics but also opens new avenues for investigating the interface between quantum mechanics and general relativity.
Quantum steering ellipsoids (QSEs) provide a geometric representation, within the Bloch picture, of all possible states to which one qubit can be steered through measuring another correlated qubit. However, in realistic settings, quantum systems are inevitably coupled to their environment, resulting in decoherence and degradation of the QSE. Here, by investigating how local dissipative environments coupled to each qubit affect the quantum steering, we find that the geometry of each party's QSE is closely tied to the non-Markovian effect and the formation of a bound state in the energy spectrum of the total qubit-environment system. The bound state provides the ability and the non-Markovian effect provides the dynamical way for preserving the QSE. We systematically examine the characteristics of QSEs under three distinct scenarios, i.e., two-sided bound states, one-sided bound states, and no bound state, revealing a diverse range of steering types. Our work establishes quantum reservoir engineering as a tunable strategy for protecting and controlling quantum steering in open systems, offering a practical pathway toward robust steering-based quantum technologies.