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Continuous Symmetries and Approximate Quantum Error Correction
The approach provides insight into how time evolution in the bulk corresponds to time evolution on the boundary without violating the Eastin-Knill theorem, and the five-rotor code can be stacked to form a covariant holographic code.
Generalized Entropies
An entropy measure for quantum systems is studied that generalizes the von Neumann entropy as well as its classical counterpart, the Gibbs or Shannon entropy, and is derived from the formulation as a semidefinite program.
Microcanonical and resource-theoretic derivations of the thermal state of a quantum system with noncommuting charges
This work defines a resource-theory model for thermodynamic exchanges of noncommuting observables and investigates the thermal state of the grand canonical ensemble, which is expected to be the equilibrium point of typical dynamics.
Axiomatic Relation between Thermodynamic and Information-Theoretic Entropies.
This Letter obtain a direct relation between the Clausius entropy and the Shannon entropy, or its generalization to quantum systems, the von Neumann entropy, and finds that entropy measures relevant in nonequilibrium thermodynamics correspond to entropies used in one-shot information theory.
Linear growth of quantum circuit complexity
The complexity of quantum states has become a key quantity of interest across various subfields of physics, from quantum computing to the theory of black holes. The evolution of generic quantum
The minimal work cost of information processing
This work determines the minimal work required to carry out any logical process, for instance a computation, which is given by the entropy of the discarded information conditional to the output of the computation.
Fundamental work cost of quantum processes
Information-theoretic approaches provide a promising avenue for extending the laws of thermodynamics to the nanoscale. Here, we provide a general fundamental lower limit, valid for systems with an
Gibbs-preserving maps outperform thermal operations in the quantum regime
In this brief paper, we compare two frameworks for characterizing possible operations in quantum thermodynamics. One framework considers thermal operations—unitaries which conserve energy. The other
Practical and Reliable Error Bars in Quantum Tomography.
This work proposes a practical yet robust method for obtaining error bars by introducing a novel representation of the output of the tomography procedure, the quantum error bars, and presents an algorithm for computing this representation and provides ready-to-use software.
Thermodynamic Capacity of Quantum Processes.
This Letter identifies a unique single-letter and additive quantity, the thermodynamic capacity, that characterizes the "thermodynamic value" of a quantum channel, and provides asymptotically optimal constructions of universal implementations of quantum processes.