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We investigate the utility of parity detection to achieve Heisenberg-limited phase estimation for optical interferometry. We consider the parity detection with several input states that have been shown to exhibit sub shot-noise…

Quantum Physics · Physics 2009-10-25 Aravind Chiruvelli , Hwang Lee

We study the sensitivity and resolution of phase measurement in a Mach-Zehnder interferometer with two-mode squeezed vacuum (<n> photons on average). We show that super-resolution and sub-Heisenberg sensitivity is obtained with parity…

We propose a scheme for measuring the squeezing, purity, and entanglement of Gaussian states of light that does not require homodyne detection. The suggested setup only needs beam splitters and single-photon detectors. Two-mode entanglement…

Quantum Physics · Physics 2009-11-10 Jaromir Fiurasek , Nicolas J. Cerf

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

In this paper, we review the use of parity as a detection observable in quantum metrology as well as introduce some original findings with regards to measurement resolution in Ramsey spectroscopy and quantum non-demolition (QND) measures of…

Quantum Physics · Physics 2024-06-19 Richard J. Birrittella , Paul M. Alsing , Christopher C. Gerry

The interference between coherent and squeezed vacuum light can produce path entangled states with very high fidelities. We show that the phase sensitivity of the above interferometric scheme with parity detection saturates the quantum…

Quantum Physics · Physics 2015-08-25 Kaushik P. Seshadreesan , Petr M. Anisimov , Hwang Lee , Jonathan P. Dowling

Parity measurement is a central tool to many quantum information processing tasks. In this Letter, we propose a method to directly measure two- and four-qubit parity with low overhead in hard- and software, while remaining robust to…

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are…

Quantum Physics · Physics 2009-11-13 Yang Gao , Hwang Lee

We investigated the estimation of an unknown Gaussian process (containing displacement, squeezing and phase-shift) applied to a matter system. The state of the matter system is not directly measured; instead, we measure an optical mode…

Quantum Physics · Physics 2017-08-09 László Ruppert , Radim Filip

We theoretically explore the advantages rendered by non-Gaussian operations in phase estimation using a parity-detection-based Mach-Zehnder interferometer, with one input being a coherent state and the other being a non-Gaussian squeezed…

Quantum Physics · Physics 2024-09-24 Chandan Kumar , Rishabh , Mohak Sharma , Shikhar Arora

We present a new operator method in the Heisenberg representation to obtain the signal of parity measurement within a lossless SU(1,1) interferometer. Based on this method, it is convenient to derive the parity signal directly in terms of…

Quantum Physics · Physics 2021-09-08 Shuai Wang , Jiandong Zhang

Photon number states are assigned a parity of if their photon number is even and a parity of if odd. The parity operator, which is minus one to the power of the photon number operator, is a Hermitian operator and thus a quantum mechanical…

Quantum Physics · Physics 2015-05-19 Christopher C. Gerry , Jihane Mimih

We study a Mach-Zehnder interferometer fed by a coherent state in one input port and vacuum in the other. We explore a Bayesian phase estimation strategy to demonstrate that it is possible to achieve the standard quantum limit independently…

Quantum Physics · Physics 2009-11-13 L. Pezze , A. Smerzi , G. Khoury , J. F. Hodelin , D. Bouwmeester

A parity meter projects the state of two qubits onto two subspaces with different parities, the states in each parity class being indistinguishable. It has application in quantum information for its entanglement properties. In our work we…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 Géraldine Haack , Heidi Förster , Markus Büttiker

Parity measurement is a key step in many entanglement generation and quantum error correction schemes. We propose a protocol for non-destructive parity measurement of two remote qubits, i.e., macroscopically separated qubits with no direct…

Quantum Physics · Physics 2015-10-08 J. Govenius , Y. Matsuzaki , I. G. Savenko , M. Möttönen

The use of an interferometer to perform an ultra-precise parameter estimation under noisy conditions is a challenging task. Here we discuss nearly optimal measurement schemes for a well known,sensitive input state, squeezed vacuum and…

Using multi-photon entangled input states, we estimate the phase uncertainty in a noiseless Mach-Zehnder interferometer (MZI) using photon-counting detection. We assume a flat prior uncertainty and use Bayesian inference to construct a…

Quantum Physics · Physics 2023-10-04 Shreyas Sadugol , Lev Kaplan

The canonical Mach-Zehnder interferometer fed with a coherent state and a squeezed-vacuum state of equal intensities is theoretically predicted to achieve Heisenberg scaling in phase sensitivity. However, this ultimate performance is…

Quantum Physics · Physics 2026-05-04 Yi Gu , Song-Ping Wang , Wei Zhong

The ability to manipulate and measure the time-frequency structure of quantum light is useful for information processing and metrology. Measuring this structure is also important when developing quantum light sources with high modal purity…

Quantum Physics · Physics 2022-01-12 G. S. Thekkadath , B. A. Bell , R. B. Patel , M. S. Kim , I. A. Walmsley

It is important to find feasible measurement bounds for quantum information protocols. We present analytic bounds for quantum illumination with Gaussian states when using an on-off detection or a photon number resolving (PNR) detection,…

Quantum Physics · Physics 2023-11-06 Su-Yong Lee , Dong Hwan Kim , Yonggi Jo , Taek Jeong , Duk Y. Kim , Zaeill Kim
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