From Quantum Source Compression to Quantum Thermodynamics
- URL: http://arxiv.org/abs/2012.14143v1
- Date: Mon, 28 Dec 2020 08:27:42 GMT
- Title: From Quantum Source Compression to Quantum Thermodynamics
- Authors: Zahra Baghali Khanian
- Abstract summary: The first part of the thesis is opened with concrete definitions of general quantum source models and their compression.
The second part of the thesis revolves around information theoretical perspective of quantum thermodynamics.
- Score: 3.04585143845864
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This thesis addresses problems in the field of quantum information theory.
The first part of the thesis is opened with concrete definitions of general
quantum source models and their compression, and each subsequent chapter
addresses the compression of a specific source model as a special case of the
initially defined general models. First, we find the optimal compression rate
of a general mixed state source which includes as special cases all the
previously studied models such as Schumacher's pure and ensemble sources and
other mixed state ensemble models. For an interpolation between the visible and
blind Schumacher's ensemble model, we find the optimal compression rate region
for the entanglement and quantum rates. Later, we study the classical-quantum
variation of the celebrated Slepian-Wolf problem and the ensemble model of
quantum state redistribution for which we find the optimal compression rate
considering per-copy fidelity and single-letter achievable and converse bounds
matching up to continuity of functions which appear in the corresponding
bounds.
The second part of the thesis revolves around information theoretical
perspective of quantum thermodynamics. We start with a resource theory point of
view of a quantum system with multiple non-commuting charges. Subsequently, we
apply this resource theory framework to study a traditional thermodynamics
setup with multiple non-commuting conserved quantities consisting of a main
system, a thermal bath and batteries to store various conserved quantities of
the system. We state the laws of the thermodynamics for this system, and show
that a purely quantum effect happens in some transformations of the system,
that is, some transformations are feasible only if there are quantum
correlations between the final state of the system and the thermal bath.
Related papers
- Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory [0.0]
Microscopic thermal machines promise to play an important role in future quantum technologies.
Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like classical degrees of freedom.
We develop a self-consistent theoretical framework that makes it possible to model such quantum-classical hybrid devices in a thermodynamically consistent manner.
arXiv Detail & Related papers (2024-04-15T20:13:42Z) - Quantum Fisher Information for Different States and Processes in Quantum
Chaotic Systems [77.34726150561087]
We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix.
We compare our results with earlier results for a local unitary transformation.
arXiv Detail & Related papers (2023-04-04T09:28:19Z) - Quantum stochastic thermodynamics: A semiclassical theory in phase space [0.0]
A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space.
We use a Fokker-Planck equation as the dynamics at the mesoscopic level.
We define thermodynamic quantities based on the trajectories of the phase-space distribution.
arXiv Detail & Related papers (2023-03-10T14:12:14Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Unification of the first law of quantum thermodynamics [0.0]
Underlying the classical thermodynamic principles are analogous microscopic laws, arising from the fundamental axioms of quantum mechanics.
The foremost quantum thermodynamic law is a simple statement concerning the conservation of energy.
There exist ambiguity and disagreement regarding the precise partition of a quantum system's energy change to work and heat.
arXiv Detail & Related papers (2022-08-22T19:36:41Z) - Implementation of a two-stroke quantum heat engine with a collisional
model [50.591267188664666]
We put forth a quantum simulation of a stroboscopic two-stroke thermal engine in the IBMQ processor.
The system consists of a quantum spin chain connected to two baths at their boundaries, prepared at different temperatures using the variational quantum thermalizer algorithm.
arXiv Detail & Related papers (2022-03-25T16:55:08Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and
Temperature [2.542198147027801]
We develop strong coupling quantum thermodynamics based on the solution of the exact master equation.
We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings.
With the renormalized Hamiltonian and temperature, the exact steady state of open quantum systems can be expressed as a standard Gibbs state.
arXiv Detail & Related papers (2020-10-05T07:34:26Z) - Single-Atom Verification of the Information-Theoretical Bound of
Irreversibility at the Quantum Level [0.11242503819703256]
In a quantum mechanical fashion, we report the first theoretical prediction and experimental exploration of an information-theoretical bound on the entropy production.
Our finding is fundamental to any quantum thermodynamical process and indicates much difference and complexity in quantum thermodynamics with respect to the conventionally classical counterpart.
arXiv Detail & Related papers (2020-07-04T07:20:31Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.