Multi-mode Gaussian State Analysis with Total Photon Counting
- URL: http://arxiv.org/abs/2209.14453v1
- Date: Wed, 28 Sep 2022 22:37:23 GMT
- Title: Multi-mode Gaussian State Analysis with Total Photon Counting
- Authors: Arik Avagyan, Emanuel Knill, Scott Glancy
- Abstract summary: In this work we consider the question of what properties of an arbitrary multimode Gaussian state are determined by a single photon-number-resolving detector.
We find an answer in the ideal case where the exact photon-number probabilities are known.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The continuing improvement in the qualities of photon-number-resolving
detectors opens new possibilities for measuring quantum states of light. In
this work we consider the question of what properties of an arbitrary multimode
Gaussian state are determined by a single photon-number-resolving detector that
measures total photon number. We find an answer to this question in the ideal
case where the exact photon-number probabilities are known. We show that the
quantities determined by the total photon number distribution are the spectrum
of the covariance matrix, the absolute displacement in each eigenspace of the
covariance matrix, and nothing else. In the case of pure Gaussian states, the
spectrum determines the squeezing parameters.
Related papers
- Simulating NMR Spectra with a Quantum Computer [49.1574468325115]
This paper provides a formalization of the complete procedure of the simulation of a spin system's NMR spectrum.
We also explain how to diagonalize the Hamiltonian matrix with a quantum computer, thus enhancing the overall process's performance.
arXiv Detail & Related papers (2024-10-28T08:43:40Z) - Multi-mode Gaussian State Analysis with one Bounded Photon Counter [0.0]
What properties of a multi-mode Gaussian state are determined by the signal from one detector that measures total number photons up to some bound?
We find that if the Gaussian state occupies $S$ modes and the probabilities of $n$ photons for all $nleq 8S$ are known, then we can determine the spectrum of the Gaussian covariance matrix.
Nothing more can be learned, even if all photon-number probabilities are known.
arXiv Detail & Related papers (2024-04-13T10:44:33Z) - Realistic photon-number resolution in Gaussian boson sampling [0.0]
Gaussian boson sampling (GBS) is a model of nonuniversal quantum computation that claims to demonstrate quantum supremacy with current technologies.
We derive a the photocounting probability distribution in GBS schemes which is applicable for use with general detectors and photocounting techniques.
arXiv Detail & Related papers (2024-03-05T18:20:59Z) - A hybrid quantum-classical algorithm for multichannel quantum scattering
of atoms and molecules [62.997667081978825]
We propose a hybrid quantum-classical algorithm for solving the Schr"odinger equation for atomic and molecular collisions.
The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes the fundamental scattering $S$-matrix.
We show how the algorithm could be scaled up to simulate collisions of large polyatomic molecules.
arXiv Detail & Related papers (2023-04-12T18:10:47Z) - Quantum computing of analytical functions by linear optics methods [0.0]
We propose a model for computing of a certain set of analytical functions based on estimating the output distribution of multiphoton outcomes in an optical scheme.
The potential of optical quantum computing based on non-classical states a certain parity can be expanded.
arXiv Detail & Related papers (2023-03-22T19:56:51Z) - Observation of partial and infinite-temperature thermalization induced
by repeated measurements on a quantum hardware [62.997667081978825]
We observe partial and infinite-temperature thermalization on a quantum superconducting processor.
We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
arXiv Detail & Related papers (2022-11-14T15:18:11Z) - Entanglement of annihilation photons [141.5628276096321]
We present the results of a new experimental study of the quantum entanglement of photon pairs produced in positron-electron annihilation at rest.
Despite numerous measurements, there is still no experimental proof of the entanglement of photons.
arXiv Detail & Related papers (2022-10-14T08:21:55Z) - Quantum density matrix theory for a laser without adiabatic elimination
of the population inversion: transition to lasing in the class-B limit [62.997667081978825]
No class-B quantum density-matrix model is available to date, capable of accurately describing coherence and photon correlations within a unified theory.
Here we carry out a density-matrix theoretical approach for generic class-B lasers, and provide closed equations for the photonic and atomic reduced density matrix in the Fock basis of photons.
This model enables the study of few-photon bifurcations and non-classical photon correlations in class-B laser devices, also leveraging quantum descriptions of coherently coupled nanolaser arrays.
arXiv Detail & Related papers (2022-05-26T16:33:51Z) - Photon counting probabilities of the output field for a single-photon
input [0.0]
We derive photon counting statistics for an output field of a single-photon wave packet interacting with a quantum system.
We determine the exclusive probability densities for the output field by making use of quantum filtering theory.
arXiv Detail & Related papers (2021-09-11T08:15:15Z) - Maximal entanglement increase with single-photon subtraction [6.359294579761927]
Entanglement is an indispensable quantum resource for quantum information technology.
In continuous-variable quantum optics, photon subtraction can increase entanglement between Gaussian states of light.
We prove that single-photon subtraction increases bipartite entanglement by no more than log 2.
arXiv Detail & Related papers (2021-03-16T16:58:19Z) - Single photon randomness originating from the symmetry of dipole
emission and the unpredictability of spontaneous emission [55.41644538483948]
Quantum random number generation is a key ingredient for quantum cryptography and fundamental quantum optics.
We experimentally demonstrate quantum random number generation based on the spontaneous emission process.
The scheme can be extended to random number generation by coherent single photons with potential applications in solid-state based quantum communication at room temperature.
arXiv Detail & Related papers (2021-02-18T14:07:20Z)
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.