Certifying Negative Conditional Entropy of Bipartite Quantum States using Bell Operator Violations
Establishing upper bounds on the negative conditional von Neumann entropy (CVNE) of bipartite quantum states through the violation of selected Bell operators.
Entropy Measures for Quantum States: Insights from Chern-Simons Theory and Quantum Mechanics
Pseudo-entropy, SVD entropy, and their excess provide useful characterization of the difference between quantum states, and can be interpreted as a metric in certain cases. These entropy measures reveal interesting properties of quantum states, including link states in Chern-Simons theory and various quantum mechanical systems.
Quantum Bayes' Rule and Petz Transpose Map Derived from the Minimal Change Principle
The quantum minimal change principle, when quantified by quantum fidelity, leads to the Petz transpose map as the unique solution, establishing a connection between Bayes' rule, the minimum change principle, and the Petz transpose map.
Encoding and Decoding Quantum Information through Relativistic Quantum Fields in Curved Spacetimes
A relativistic quantum communication channel can be constructed between two localized qubit systems by coupling them to a relativistic quantum field in arbitrary curved spacetimes, allowing for the theoretical maximum quantum capacity.
Measures of Dynamical Coherence in Quantum Channels
Three measures of dynamical coherence for quantum channels are introduced, which generalize previous results. These measures are based on a generalized distance function between channels and are monotone under free superchannels and convex.
Quantum Identification Capacities: Comparing Pure State Encoders and Simultaneous Decoders
The authors analyze the identification capacities of quantum channels under different constraints on the encoder and decoder, including pure state encoders and simultaneous decoders. They show that pure state encoders can achieve double exponential growth in the number of identifiable messages, matching the capacity of general encoders, and that the simultaneous identification capacity equals the capacity with pure state encoders.
다중 사용자 양자 정보 작업을 위한 동시 평활화 없는 국소 무작위 유니터리를 통한 분리
국소 무작위 유니터리와 고정 CPTP 맵의 연결을 통해 다중 시스템의 동시 분리를 달성할 수 있다. 이는 최소 엔트로피와 Rényi 엔트로피를 사용하여 최적에 가까운 경계를 제공한다.
Efficient Multiparty Decoupling via Local Random Unitaries without Simultaneous Smoothing
The authors develop a solution for simultaneous decoupling of multiple quantum systems by leveraging contractivity properties of random channels and multiplicativity of contraction under tensor products, without addressing the unresolved simultaneous smoothing conjecture.
Quantifying the Minimum Entanglement Required for Realizing Arbitrary Quantum Processes
The minimum amount of entanglement required to prepare a given target quantum state or implement a target quantum operation is a crucial aspect in optimizing the efficiency of quantum computation and quantum communication. This work develops an efficiently computable tool that reliably estimates the entanglement cost for realizing arbitrary quantum processes.
Optimal Discrimination of Quantum States and the Trade-off Between Coherence and Distinguishability
There is an inherent trade-off between the quantum coherence that can be preserved and the classical distinguishability that can be extracted when optimally discriminating a set of mutually orthogonal pure quantum states.
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