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Lecture Notes on the Theory of Open Quantum Systems
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Lecture Notes on the Theory of Open Quantum Systems
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This is a self-contained set of lecture notes covering various aspects of the theory of open quantum system, at a level appropriate for a one-semester graduate course. The main emphasis is on completely positive maps and master equations, both Markovian and non-Markovian.
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Cited by 32 Pith papers
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Qubit Readout via State-Dependent Radiative Linewidths
A state-dependent Lindblad jump operator produces qubit readout signal at O(t) rather than O(t^2) by imprinting information on the external radiative amplitude from an initially empty cavity.
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Analog-Digital Quantum Computing with Quantum Annealing Processors
Quantum annealing processors implement analog-digital quantum computing via effective XY-model evolution combined with auxiliary-qubit arbitrary-basis initialization and measurement, demonstrated through oscillations,...
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Floquet Quasienergy-Resolved Dissipation, Dynamics, and Spectroscopy in Ultrastrong Cavity-QED
A nonsecular Floquet generalized master equation framework is developed for open ultrastrong cavity-QED, demonstrating that dissipation is governed by quasienergies rather than static dressed resonances.
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Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence
Subsystem decoherence on extended cluster states generates a hierarchy of mixed SPT phases ending in Z2 SWSSB with glassy GHZ entanglement.
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Stochastic signal sensing with finite energy and dead time at the fundamental quantum limit
Proves TMSV optimality for finite-energy incoherent stochastic sensing and shows entanglement is required for independent gain estimation, with non-Gaussian to Gaussian transition in unentangled states as dead time grows.
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Quantum statistical enhancement of collective behaviour in a bosonic active Ising model
Bosonic quantum statistics markedly enhance flocking and aster formation in a 1D quantum active Ising model on a lattice.
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Quantum statistical enhancement of collective behaviour in a bosonic active Ising model
Bosonic quantum statistics enhance collective phases in a 1D quantum active Ising model on a lattice.
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Quantum Mpemba effect for operators in open systems
Operators evolving under the adjoint Liouvillian in open quantum systems can exhibit a genuine Mpemba effect, with general conditions derived and validated across three setups.
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Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective
Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
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Surpassing thermal-state limit in thermometry via non-completely positive quantum encoding
General probe-environment correlations enable non-completely positive encodings that surpass the thermal-state bound in quantum thermometry precision.
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Quantum mutual information as a robust probe of integrability in open quantum systems
Temporal fluctuations of the aSTC distinguish integrable and chaotic regimes in both closed and open long-range XYZ spin chains, retaining diagnostic power under non-Markovian noise where OTOC fails.
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A multilevel tensor network compression technique for simulating Lindblad dynamics in superconducting circuits
A multilevel tensor-network technique compresses Lindblad dynamics of interacting bosonic modes by combining global purification, entanglement compression, and quantics Fock representation, demonstrated on cat qubits ...
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Transient entanglement generation in driven chiral networks beyond the secular approximation
Continuous driving in chiral quantum networks allows transient concurrence to exceed the undriven 2/e benchmark because nonsecular terms mix dressed-state coherences under strong driving.
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Noise Correlations as a Resource in Pauli-Twirled Circuits
Noise correlations increase the fidelity of randomly compiled Clifford circuits under a broad class of Gaussian noise.
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Precision Enhancement in Transient Quantum Thermometry:Cold-Probe Bias and Its Removal
Transient precision enhancement in Markovian quantum thermometry requires an initially cold probe and this requirement survives some memory effects but is eliminated by strong non-Markovian collisional dynamics.
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Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
Spin-induced Bateman dual-oscillator dynamics yields non-Markovian reduced-subsystem oscillations claimed as time-crystal-like order without external drive, plus fractal scaling.
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A Lie-Jordan Geometric Formulation of Lindblad Dynamics
Every finite-dimensional GKLS dissipator is the contraction of a universal trilinear map D(X,Y)Z=XZY−½{YX,Z} whose components depend only on the Lie-Jordan structure tensors B and C.
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Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator
Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.
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Thermoelectric information engine driven by an autonomous Maxwell demon across quantum-to-classical transitions
A Redfield master equation model of a thermoelectric information engine reveals that coherent tunneling enhances the autonomous Maxwell demon mechanism before phonon-induced decoherence suppresses both transport and i...
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Strongly-coupled non-Markovian waveguide QED with input-output HEOM
io-HEOM accurately captures non-Markovian waveguide QED arising from spatially non-local coupling and non-linear dispersion in different spectral densities.
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Perturbative approach to the first law of quantum thermodynamics
A second-order perturbative framework decomposes coherence terms in the quantum first law into coherent heat and work, linking them to Fermi's golden rule transition rates.
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Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
Spin-induced deformation in the Bateman dual oscillator framework yields non-Markovian reduced dynamics with persistent oscillations and fractal scaling that mimic time crystals in a globally unitary quantum system.
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Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
Spin-induced deformation creates a Bateman dual oscillator whose reduced non-Markovian dynamics produces time-crystal-like ordering and fractal scaling in a closed quantum system.
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Unveiling Energetic Advantage in Superconducting Cat-Qubits Quantum Computation
Energy modeling and parameter optimization for cat-qubit superconducting quantum computers performing semiclassical QFT with error correction indicates an energetic advantage over classical systems for more than 26 qu...
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Reflections on Quantum Reflectometry: Quantum and Tunneling capacitances as well as Sisyphus and Hermes resistances
A driven-dissipative model for qudit-resonator systems is used to derive expressions for quantum/tunneling capacitances and Sisyphus/Hermes resistances that change when the two subsystems influence each other dynamically.
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Quantum Mpemba-like effect in Unruh thermalization
The paper demonstrates a quantum Mpemba-like effect during Unruh thermalization of a UDW detector and identifies maximum fidelity difference as a diagnostic distinguishing quantum Unruh thermalization from classical t...
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Security of deterministic key distribution with higher-dimensional systems
Higher-dimensional two-way QKD protocols using mutually unbiased bases and Heisenberg-Weyl operators yield secret keys for stronger individual attacks and improved robustness to collective eavesdropping via entropic u...
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$\mathcal{PT-}$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
Derives a generalized GKSL master equation for PT-symmetric two-level open quantum systems and compares non-Markovian witness, fidelity, and entanglement with Hermitian counterparts.
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QuTiP 5: The Quantum Toolbox in Python
QuTiP 5 updates the Quantum Toolbox in Python with data layer changes for JAX and CuPy support, new solvers, QuTiP-QIP for circuits, and QuTiP-QOC for control.
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Comparing quantum channels using Hermitian-preserving trace-preserving linear maps: A physically meaningful approach
A quantum channel A is physically harder to implement than channel B if A's output statistics allow unique identification of the input state from B's output via some measurement, which is equivalent to obtaining A fro...
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Is Lindblad for me?
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
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Lecture notes on classical and quantum non-Markovianity
Lecture notes review two standard characterizations of quantum Markovianity (CP-divisibility and MDSD) and their classical counterparts for students of open quantum systems.
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