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A statistical distinguishability based on relative entropy characterises the fitness of quantum states for phase estimation. This criterion is employed in the context of a Mach-Zehnder interferometer and used to interpolate between two…

Quantum Physics · Physics 2009-11-13 Gabriel A. Durkin , Jonathan P. Dowling

We consider dephasing in the electronic Mach-Zehnder interferometer strongly coupled to current noise created by a voltage biased quantum point contact (QPC). We find the visibility of Aharonov-Bohm oscillations as a function voltage bias…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Ivan P. Levkivskyi , Eugene V. Sukhorukov

Quantum sensing using non-linear interferometers offers the possibility of bicolour imaging, using light that never interacted with the object of interest, and provides a way to achieve phase supersensitivity, i.e. a Heisenberg-type scaling…

Quantum Physics · Physics 2024-04-22 Simon Schaffrath , Daniel Derr , Markus Gräfe , Enno Giese

In quantum parameter estimation, the quantum Cram\'er-Rao bound (QCRB) sets a fundamental limit on the precision achievable with unbiased estimators. It relates the uncertainty in estimating a parameter to the inverse of the quantum Fisher…

The phase shift of an electromagnetic wave, imprinted by its interaction with atomic scatterers, is a central quantity in optics and photonics. In particular, it encodes information about optical resonances and photon-matter interaction.…

We study the phase super-sensitivity of a Mach-Zehnder interferometer (MZI) with the squeezed Kerr and coherent states as the inputs. We discuss the lower bound in phase sensitivity by considering the quantum Fisher information (QFI) and…

Quantum Physics · Physics 2024-04-04 Dhiraj Yadav , Gaurav Shukla , Priyanka Sharma , Devendra Kumar Mishra

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha

We theoretically investigate the phase sensitivity with parity detection on a Mach-Zehnder interferometer with a coherent state combined with a photon-added squeezed vacuum state. When the phase shift approaches zero, the squeezed vacuum…

Quantum Physics · Physics 2019-05-01 Shui Wang , Xuexiang Xu , Yejun Xu , Lijian Zhang

Atomic (qubit) and optical or microwave (modal) phase-estimation protocols are placed on the same footing in terms of quantum-circuit diagrams. Circuit equivalences are used to demonstrate the equivalence of protocols that achieve the…

Quantum Physics · Physics 2015-05-14 Carlton M. Caves , Anil Shaji

We demonstrate a 2-grating free electron Mach-Zehnder interferometer constructed in a transmission electron microscope. A symmetric binary phase grating and condenser lens system forms two spatially separated, focused probes at the sample…

Instrumentation and Detectors · Physics 2021-10-13 Cameron W. Johnson , Amy E. Turner , Benjamin J. McMorran

Nonlinear quantum metrology schemes can lead to faster than Heisenberg limited scalings for the measurement uncertainty. We study a Michelson interferometer embedded in a Kerr medium [Luis and Rivas, Phys. Rev. A 92, 022104 (2015)] that…

Quantum Physics · Physics 2021-12-07 Bijoy John Mathew , Anil Shaji

We demonstrate an optomechanical phase shifter. By electrostatically deflecting the nanofabricated mechanical structure, the effective index of a nearby waveguide is changed and the resulting phase shift is measured using an integrated…

Optics · Physics 2014-03-05 Menno Poot , Hong. X. Tang

We present a theoretical investigation of a whispering gallery mode (WGM) resonator coupled to a Mach-Zehnder interferometer (MZI) and show a bimodal coincidence transmission spectrum when the input state is an indistinguishable photon…

Quantum Physics · Physics 2024-04-29 Callum Jones , Antonio Vidiella-Barranco , Jolly Xavier , Frank Vollmer

Number state filtered coherent states are a class of nonclassical states obtained by removing one or more number states from a coherent state. Phase sensitivity of an interferometer is enhanced if these nonclassical states are used as input…

Quantum Physics · Physics 2020-01-09 Nilakantha Meher , S. Sivakumar

In this article, we demonstrate a scheme capable of two-phase measurement, i.e. the simultaneous measurement of the two phase-shifts occurring in two independent Mach-Zehnder interferometers using one intensity detector. Our scheme utilizes…

Optics · Physics 2015-06-03 Utsab Khadka , Jiteng Sheng , Xihua Yang , Min Xiao

We show that injecting a light pulse prepared in the Shroedinger cat quantum state into the dark port of a two-arm interferometer and the strong classical light into the bright one, it is possible, in principle, to detect a given phase…

Quantum Physics · Physics 2024-05-29 V. L. Gorshenin

The sensitivity in optical interferometry is strongly affected by losses during the signal propagation or at the detection stage. The optimal quantum states of the probing signals in the presence of loss were recently found. However, in…

We investigate quantum phase estimation in a Mach-Zehnder interferometer using q-deformed photon states, including q-coherent and q-cat states, which model realistic deviations from ideal light sources. By deriving closed-form photon count…

Quantum Physics · Physics 2025-10-07 Duttatreya , Sanjib Dey

We realize a nanoscale-area Mach-Zehnder interferometer with co-propagating quantum Hall spin-resolved edge states and demonstrate the persistence of gate-controlled quantum interference oscillations, as a function of an applied magnetic…

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