Lower bound on phase noise of classical states

• URL: http://arxiv.org/abs/2309.08450v1
• Date: Fri, 15 Sep 2023 14:53:23 GMT
• Title: Lower bound on phase noise of classical states
• Abstract summary: An uncertainty relation for the number and phase of a single-mode field state is derived. It is then used to find a lower bound on the phase noise of a classical state. An example of such a nonclassical state is presented.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: An uncertainty relation for the number and phase of a single-mode field state is derived. It is then used to find a lower bound on the phase noise of a classical state. Any state that violates this condition is nonclassical. An example of such a nonclassical state is presented. Because a nonclassical state can have less phase noise than a classical state with the same average photon number, nonclassical states can play a role in the measurement of small phase shifts.

Related papers

• Identical Bosons, large occupation numbers and classical field description [1.3604803091781925]
  We find that an arbitrary state with large occupation number doesn't behave classically.<n>Since coherent states are known to have quasi-classical behaviour, we ask how much deviation from coherent state can spoil the classical behaviour.
  arXiv  Detail & Related papers  (2026-06-08T18:32:14Z)
• Learning transitions in classical Ising models and deformed toric codes [0.0]
  Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a sharp learning transition for the two-dimensional classical Ising model. Our results can be extended to study the more general effects of learning on both classical and quantum states.
  arXiv  Detail & Related papers  (2025-04-16T18:00:01Z)
• Operationally classical simulation of quantum states [41.94295877935867]
  A classical state-preparation device cannot generate superpositions and hence its emitted states must commute. We show that no such simulation exists, thereby certifying quantum coherence. Our approach is a possible avenue to understand how and to what extent quantum states defy generic models based on classical devices.
  arXiv  Detail & Related papers  (2025-02-03T15:25:03Z)
• Dynamics in an emergent quantum-like state space generated by a nonlinear classical network [0.0]
  This work exploits a framework whereby a graph serves to connect a classical system to a state space that we call quantum-like' (QL)<n>We study a specific example of a large, dynamical classical system that maps, via a graph, to the QL state space.<n>We show that a no-cloning theorem (that is, a state of a QL bit cannot be copied) applies not only to the QL states, but also to the underlying classical system.
  arXiv  Detail & Related papers  (2025-01-13T17:17:53Z)
• Kochen-Specker for many qubits and the classical limit [55.2480439325792]
  It is shown that quantum and classical predictions converge as the number of qubits is increases to the macroscopic scale. This way to explain the classical limit concurs with, and improves, a result previously reported for GHZ states.
  arXiv  Detail & Related papers  (2024-11-26T22:30:58Z)
• Intersystem Non-separability and CHSH-Bell Violations in Classical Optics [0.0]
  A derivation of the CHSH-Bell inequality is sketched within the framework of classical polarization optics. It is shown that the classical state violates this inequality.
  arXiv  Detail & Related papers  (2024-01-03T08:33:54Z)
• From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model [0.0]
  We investigate the semiclassical limit of a bosonic quantum many-body system exhibiting both integrable and chaotic behavior. The transition from regularity to chaos in classical dynamics is visualized through Poincar'e sections. The study systematically establishes quantum-classical correspondence for a bosonic many-body system with more than two wells.
  arXiv  Detail & Related papers  (2023-11-22T06:31:00Z)
• Experimental hierarchy of the nonclassicality of single-qubit states via potentials for entanglement, steering, and Bell nonlocality [0.0]
  Entanglement potentials are a promising way to quantify the nonclassicality of single-mode states. We generalize the idea of entanglement potentials to other quantum correlations. We experimentally test this concept using specially tailored polarization-encoded single-photon states.
  arXiv  Detail & Related papers  (2023-09-22T14:05:46Z)
• Simulating Entanglement beyond Quantum Steering [15.808504285017948]
  We quantify the resource content of such states in terms of how much shared randomness is needed to simulate their behavior. We rigorously show that the shared randomness cost is unbounded even for some two-qubit unsteerable states.
  arXiv  Detail & Related papers  (2023-02-17T18:52:33Z)
• 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)
• Wigner Function for Harmonic Oscillator and The Classical Limit [0.0]
  The Wigner function is a quantum analogue of the classical joined distribution of position and momentum. One can found the classical limit of the Wigner function for highly excited states.
  arXiv  Detail & Related papers  (2021-04-14T05:48:42Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Let's Burn a hole in the Binomial state of the radiation field [0.0]
  We investigate the role of hole burning (state filtering) on a state which is already nonclassical. Specifically, we have selected a Binomial state which is known to be nonclassical as our test bed and burnt a hole at vacuum. The investigation results show that vacuum filtered binomial state studied here is highly nonclassical, and the hole burning process enhances the nonclassical depth.
  arXiv  Detail & Related papers  (2020-11-20T18:36:17Z)
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain [21.24186888129542]
  We study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. Special emphasis is devoted to the simplest types of solutions, describing precessional motion and elliptic magnetisation waves.
  arXiv  Detail & Related papers  (2020-10-14T16:46:11Z)
• Universality class and exact phase boundary in the superradiant phase transition [13.83833602613384]
  The Dicke model and Rabi model can undergo phase transitions from the normal phase to the superradiant phase at the same boundary. The underlying mechanism for this coincidence is still unclear and the universality class of these two models is elusive. We prove this phase transition exactly using the path-integral approach based on the faithful Schwinger fermion representation.
  arXiv  Detail & Related papers  (2020-08-07T10:45:59Z)
• Entanglement as upper bounded for the nonlocality of a general two-qubit system [16.676050048472963]
  We systematically investigate the relationship between entanglement and nonlocality of a general two-qubit system. We find that the nonlocality of two different two-qubit states can be optimally stimulated by the same nonlocality test setting.
  arXiv  Detail & Related papers  (2020-04-17T16:42:27Z)

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.