Adaptive protocols for SU(11) interferometers to achieve ab initio phase estimation at the Heisenberg limit

• URL: http://arxiv.org/abs/2307.14606v1
• Date: Thu, 27 Jul 2023 03:44:28 GMT
• Title: Adaptive protocols for SU(11) interferometers to achieve ab initio phase estimation at the Heisenberg limit
• Authors: Mingchen Liu, Lijian Zhang, Haixing Miao
• Abstract summary: The precision of phase estimation with interferometers can be greatly enhanced using non-classical quantum states. The SU interferometer is an elegant scheme, which generates two-mode squeezed state internally and also amplifies the signal.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The precision of phase estimation with interferometers can be greatly enhanced using non-classical quantum states, and the SU(11) interferometer is an elegant scheme, which generates two-mode squeezed state internally and also amplifies the signal. It has been shown in [Phys. Rev. A {\bf 95}, 063843 (2017)] that the photon-number measurement can achieve the Heisenberg limit, but only for estimating a small phase shift. We relax the constraint on the phase size by considering two adaptive protocols: one also uses the photon-number measurement with a specially tuned sequence of feedback phase; the other implements the yet-to-be-realised optimal measurement but without fine tuning.

Related papers

• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
  We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements. We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
  arXiv  Detail & Related papers  (2021-12-15T19:01:44Z)
• Swap-test interferometry with biased ancilla noise [0.0]
  Heisenberg scaling can be recovered with simple input states. Simple input states can reach the standard quantum limit of phase estimation. Complex states require complex states at the input of the interferometer which are difficult to prepare.
  arXiv  Detail & Related papers  (2021-12-05T13:35:31Z)
• Deterministic quantum phase estimation beyond the ideal NOON state limit [0.0]
  We develop a new type of phase estimation scheme based on a deterministic source of Gaussian squeezed vacuum states and high-efficiency homodyne detection. Using a high-efficiency setup with a total loss of about 11% we achieve a Fisher Information of 15.8(6) rad2 per photon unparalleled by any other optical phase estimation technology. The work represents a fundamental achievement in quantum metrology, and it opens the door to future quantum sensing technologies for the interrogation of light-sensitive biological systems.
  arXiv  Detail & Related papers  (2021-11-18T15:37:13Z)
• A quantum ring gyroscope based on coherence de Broglie waves [0.0]
  In a Mach-Zenhder interferometer (MZI), the highest precision for a measurement error is given by vacuum fluctuations of quantum mechanics. We propose another method for the high precision measurement overcoming the Heisenberg photon-phase relation. For a potential application of the proposed method, a quantum ring gyroscope is presented.
  arXiv  Detail & Related papers  (2021-11-05T02:23:47Z)
• Remote Phase Sensing by Coherent Single Photon Addition [58.720142291102135]
  We propose a remote phase sensing scheme inspired by the high sensitivity of the entanglement produced by coherent multimode photon addition on the phase set in the remote heralding apparatus. We derive the optimal observable to perform remote phase estimation from heralded quadrature measurements.
  arXiv  Detail & Related papers  (2021-08-26T14:52:29Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Spectrally multimode integrated SU(1,1) interferometer [50.591267188664666]
  The presented interferometer includes a polarization converter between two photon sources and utilizes a continuous-wave (CW) pump. We show that this configuration results in almost perfect destructive interference at the output and supersensitivity regions below the classical limit.
  arXiv  Detail & Related papers  (2020-12-07T14:42:54Z)
• Quantum-enhanced stochastic phase estimation with SU(1,1) interferometer [3.0440082886830475]
  There is a standard quantum limit for phase estimation, which can be obtained with the Mach-Zehnder interferometer and coherent input state. Here, we show that the method with the SU (1,1) interferometer can achieve the fundamental quantum scaling, surpass the Heisenberg scaling, and surpass the canonical measurement.
  arXiv  Detail & Related papers  (2020-08-07T03:03:36Z)
• Quantum interferometer combining squeezing and parametric amplification [1.099380072835174]
  The sensitivity improvement of $4.86pm 0.24$ dB beyond the standard quantum limit is deterministically realized. This interferometric system has significantly potential applications in a variety of measurements for tiny variances of physical quantities.
  arXiv  Detail & Related papers  (2020-05-05T01:52:42Z)
• Quantum probes for universal gravity corrections [62.997667081978825]
  We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
  arXiv  Detail & Related papers  (2020-02-13T19:35:07Z)

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.