A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
arXiv:2209.15593 · doi:10.1016/j.physa.2023.128479
Abstract
In statistical estimation theory, it has been shown previously that the Wigner-Yanase skew information is bounded by the quantum Fisher information associated with the phase parameter. Besides, the quantum Cramér-Rao inequality is expressed in terms of skew information. Since these two fundamental quantities are based on the concept of quantum uncertainty, we derive here their analytical formulas for arbitrary two qubit -states using the same analytical procedures. A comparison of these two informational quantifiers for two quasi-Werner states composed of two bipartite superposed coherent states is examined. Moreover, we investigated the decoherence effects on such quantities generated by the phase damping, depolarization and amplitude damping channels. We showed that decoherence strongly influences the quantum criteria during the evolution and these quantities exhibit similar dynamic behaviors. This current work is characterized by the fact that these two concepts play the same role and capture similar properties in quantum estimation protocols.
arXiv commentPublished version in Physica A
References in corpus (45)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Advances in Quantum Metrology
- Three qubits can be entangled in two inequivalent ways
- Quantum metrology
- Entanglement detection
- Finite-Time Disentanglement via Spontaneous Emission
- Non-Markovian dynamics in open quantum systems
- On the Improvement of Frequency Stardards with Quantum Entanglement
- Atom chip based generation of entanglement for quantum metrology
- Quantum metrology from a quantum information science perspective
- The importance of quantum decoherence in brain processes
- Sudden transition between classical and quantum decoherence
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Classical and quantum correlations under decoherence
- Non-Markovian Dynamics of Quantum Discord
- Quantum discord determines the interferometric power of quantum states
- Multi-parameter Quantum Metrology
- System-reservoir dynamics of quantum and classical correlations
- Quantum Coherence via Skew Information and Its Polygamy
- Quantum decoherence dynamics of divacancy spins in silicon carbide
- Decoherence-Free Quantum Information Processing with Four-Photon Entangled States
- Geometry of quantum phase transitions
- Quantum thermodynamic uncertainty relation for continuous measurement
- Covariance and Fisher information in quantum mechanics
- Characterizing nonclassical correlations via local quantum Fisher information
- Evolution equation for quantum coherence
- Characterizing non-Markovianity via quantum interferometric power
- Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
- Entanglement-assisted quantum metrology
- Quantum coherence of multiqubit states in correlated noisy channels
- Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
- A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg model
- Quantum Fisher information and symmetric logarithmic derivative via anti-commutators
- Evolution equation for geometric quantum correlation measures
- The dynamics of local quantum uncertainty and trace distance discord for two-qubit X states under decoherence: a comparative study
- Asymptotic role of entanglement in quantum metrology
- Quantum Discord and Quantum Computing - An Appraisal
- Continuous variable B92 quantum key distribution protocol using single photon added and subtracted coherent states
- Protecting quantum Fisher information in correlated quantum channels
- Maximal quantum Fisher information for phase estimation without initial parity
- The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
- Quantum phase properties of photon added and subtracted displaced Fock states
- Universal evolution of non-classical correlations due to collective spontaneous emission
- Quantifying quantum correlation of quasi-Werner state and probing its suitability for quantum teleportation
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- Quantum Phase Sensitivity with Generalized Coherent States Based on Deformed su(1,1) and Heisenberg Algebras