Information-theoretic derivation of energy and speed bounds
- URL: http://arxiv.org/abs/2403.13223v2
- Date: Mon, 25 Mar 2024 10:02:39 GMT
- Title: Information-theoretic derivation of energy and speed bounds
- Authors: Lorenzo Giannelli, Giulio Chiribella,
- Abstract summary: We provide a model where the dynamics originates from a condition of informational non-equilibrium.
We derive a notion of energy that captures the main features of energy in quantum theory.
Our results provide an information-theoretic reconstruction of the Mandelstam-Tamm bound on the speed of quantum evolutions.
- Score: 0.2302001830524133
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Information-theoretic insights have proven fruitful in many areas of quantum physics. But can the fundamental dynamics of quantum systems be derived from purely information-theoretic principles, without resorting to Hilbert space structures such as unitary evolution and self-adjoint observables? Here we provide a model where the dynamics originates from a condition of informational non-equilibrium, the deviation of the system's state from a reference state associated to a field of identically prepared systems. Combining this idea with three basic information-theoretic principles, we derive a notion of energy that captures the main features of energy in quantum theory: it is observable, bounded from below, invariant under time-evolution, in one-to-one correspondence with the generator of the dynamics, and quantitatively related to the speed of state changes. Our results provide an information-theoretic reconstruction of the Mandelstam-Tamm bound on the speed of quantum evolutions, establishing a bridge between dynamical and information-theoretic notions.
Related papers
- Quantum ergodicity and scrambling in quantum annealers [0.0]
We show that the unitary evolution operator describing the complete dynamics of quantum annealers is typically highly quantum chaotic.
We observe that the Heisenberg dynamics of a quantum annealer leads to extensive operator spreading, a hallmark of quantum information scrambling.
arXiv Detail & Related papers (2024-11-19T16:34:35Z) - Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system.
Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
arXiv Detail & Related papers (2024-08-05T18:00:05Z) - Experimentally probing Landauer's principle in the quantum many-body regime [0.2321794817688276]
We experimentally probe Landauer's principle in the quantum many-body regime using a quantum field simulator of ultracold Bose gases.
Our results agree with theoretical predictions, interpreted using a semi-classical quasiparticle picture.
arXiv Detail & Related papers (2024-07-31T15:37:06Z) - Physical consequences of Lindbladian invariance transformations [44.99833362998488]
We show that symmetry transformations can be exploited, on their own, to optimize practical physical tasks.
In particular, we show how they can be used to change the measurable values of physical quantities regarding the exchange of energy and/or information with the environment.
arXiv Detail & Related papers (2024-07-02T18:22:11Z) - Quantifying High-Order Interdependencies in Entangled Quantum States [43.70611649100949]
We introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy.
We show that quantum systems need at least four variables to exhibit high-order properties.
Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution.
arXiv Detail & Related papers (2023-10-05T17:00:13Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Non-Hermitian Hamiltonian Deformations in Quantum Mechanics [4.071207179756646]
We introduce a broader class of non-Hermitian Hamiltonian deformations in a nonrelativistic setting.
We relate the time evolution operator and the time-evolving density matrix in the undeformed and deformed theories.
As the dissipative evolution of a quantum system can be conveniently described in Liouville space, we discuss the spectral properties of the Liouvillians.
arXiv Detail & Related papers (2022-11-10T09:25:59Z) - From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation.
We describe quantum decays in a 2-level system as coherent and continuous processes.
arXiv Detail & Related papers (2021-07-29T18:27:38Z) - A kinetic theory for quantum information transport [0.0]
This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space.
The main goal is to build new mathematical tools, together with physical intuition, to improve our understanding of non-equilibrium phenomena in quantum systems.
arXiv Detail & Related papers (2021-06-01T10:45:18Z) - Non-Hermitian Physics [4.511923587827301]
Review is given on the foundations and applications of non-Hermitian classical and quantum physics.
In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility.
Other topics related to non-Hermitian physics, including nonreciprocal transport, speed limits, nonunitary quantum walk, are also reviewed.
arXiv Detail & Related papers (2020-06-02T18:00:01Z)
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.