Dynamics-based quantumness certification of continuous variables using
time-independent Hamiltonians with one degree of freedom
- URL: http://arxiv.org/abs/2212.06017v2
- Date: Fri, 18 Aug 2023 06:29:39 GMT
- Title: Dynamics-based quantumness certification of continuous variables using
time-independent Hamiltonians with one degree of freedom
- Authors: Lin Htoo Zaw and Valerio Scarani
- Abstract summary: We discuss dynamics-based certification for one degree of freedom evolving under a generic time-independent Hamiltonian.
Several examples are explicitly studied, some that are approximately harmonic in the limits of low energy.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: Dynamics-based certification of quantumness is an approach to witnessing the
nonclassical character of some continuous-variable states, under the assumption
that their dynamics is known. Contrary to other tests of nonclassicality for
single systems, it does not require sequential measurements. This family of
protocols was introduced for harmonic dynamics. In this work we discuss
dynamics-based certification for one degree of freedom evolving under a generic
time-independent Hamiltonian. We characterize the conditions under which such a
certification is possible. Several examples are explicitly studied, some that
are approximately harmonic in the limits of low energy (Kerr nonlinearities,
the pendulum, and the Morse potential) and one that is not (the particle in an
infinite well).
Related papers
- Speed limits and thermodynamic uncertainty relations for quantum systems governed by non-Hermitian Hamiltonian [1.6574413179773757]
Non-Hermitian Hamiltonians play a crucial role in the description of open quantum systems and nonequilibrium dynamics.
This paper focuses on the Margolus-Levitin and Mandelstam-Tamm bounds, which are quantum speed limits originally derived in isolated quantum dynamics.
We extend these bounds to the case of non-Hermitian Hamiltonians and derive additional bounds on the ratio of the standard deviation to the mean of an observable.
arXiv Detail & Related papers (2024-04-25T08:00:12Z) - Quantum simulation for time-dependent Hamiltonians -- with applications
to non-autonomous ordinary and partial differential equations [31.223649540164928]
We propose an alternative formalism that turns any non-autonomous unitary dynamical system into an autonomous unitary system.
This makes the simulation with time-dependent Hamiltonians not much more difficult than that of time-independent Hamiltonians.
We show how our new quantum protocol for time-dependent Hamiltonians can be performed in a resource-efficient way and without measurements.
arXiv Detail & Related papers (2023-12-05T14:59:23Z) - Experimental speedup of quantum dynamics through squeezing [0.0]
We show that a broad class of interactions involving quantum harmonic oscillators can be made stronger (amplified) using a unitary squeezing protocol.
Importantly, the protocol does not require knowledge of the parameters of the Hamiltonian to be amplified, nor does it require a well-defined phase relationship between the squeezing interaction and the rest of the system dynamics.
arXiv Detail & Related papers (2023-04-11T22:49:49Z) - Dynamics-based entanglement witnesses for non-Gaussian states of
harmonic oscillators [0.0]
Entanglement is inferred from the Tsirelson nonclassicality test on one of the normal modes.
Our criterion detects non-Gaussian states, some of which are missed by other criteria.
arXiv Detail & Related papers (2022-10-19T07:53:57Z) - Dynamics with autoregressive neural quantum states: application to
critical quench dynamics [41.94295877935867]
We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion.
We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
arXiv Detail & Related papers (2022-09-07T15:50:00Z) - The role of fluctuations in quantum and classical time crystals [58.720142291102135]
We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs.
This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
arXiv Detail & Related papers (2022-03-10T19:00:01Z) - Harmonic oscillator kicked by spin measurements: a Floquet-like system
without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom.
The dynamics of this system is determined in closed analytical form.
We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z) - Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables [2.8121646967512985]
entanglement resulting from nonlinear interaction described by partially degenerate high-order Hamiltonians remains unclear.
We propose a hierarchy of sufficient and necessary conditions for the positive-partial-transposition separability of bipartite nonlinear quantum states.
Our results may provide a new direction in continuous variable quantum information processing.
arXiv Detail & Related papers (2021-11-09T14:28:54Z) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - Quantum Zeno effect appears in stages [64.41511459132334]
In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates.
We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
arXiv Detail & Related papers (2020-03-23T18:17:36Z)
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.