Generation of a highly-phase-sensitive polarization-squeezed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-photon state by collinear parametric down-conversion and coherent photon subtraction

Hofmann, Holger F.

doi:10.1103/physreva.74.013808

Cited by 11 publications

(8 citation statements)

References 45 publications

(71 reference statements)

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“…path-entangled n-photon states, such as NOON states [6,7] or other non-classical states [8,9,10,11,12,13,14]. However, such states are very difficult to produce experimentally even for moderate n [15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

et al. 2009

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We derive, and experimentally demonstrate, an interferometric scheme for unambiguous phase estimation with precision scaling at the Heisenberg limit that does not require adaptive measurements. That is, with no prior knowledge of the phase, we can obtain an estimate of the phase with a standard deviation that is only a small constant factor larger than the minimum physically allowed value. Our scheme resolves the phase ambiguity that exists when multiple passes through a phase shift, or NOON states, are used to obtain improved phase resolution. Like a recently introduced adaptive technique [Higgins et al 2007 Nature 450 393], our experiment uses multiple applications of the phase shift on single photons. By not requiring adaptive measurements, but rather using a predetermined measurement sequence, the present scheme is both conceptually simpler and significantly easier to implement. Additionally, we demonstrate a simplified adaptive scheme that also surpasses the standard quantum limit for single passes.

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Section: Introductionmentioning

confidence: 99%

Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

et al. 2009

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“…It is worth mentioning that states like |ψ ± have been shown to achieve Heisenberg-limit of phase measurements in quantum interferometry [55,56]. We now consider a third PNR detector placed in the path of mode 'b' to detect n 3 photons.…”

Section: Proposed Method: Analytical Modelmentioning

confidence: 99%

“…S(z) ab = e zâ † b † −z * âb (54) (55) where r = cos θ is the beamsplitter reflection coefficient and z = Re iπ is the complex squeezing parameter. After applying the squeezing operation to vacuum and sending the two modes a and b through beamsplitters, PNR detection is performed using the POVM for a lossy PNR detector detector, which is given as…”

Section: Appendix a Numerical Modelingmentioning

confidence: 99%

All-optical Quantum State Engineering for Rotation-symmetric Bosonic States

Nehra,

Eaton,

Pfister

et al. 2021

Preprint

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Continuous-variable quantum information processing through quantum optics offers a promising platform for building the next generation of scalable fault-tolerant information processors. To achieve quantum computational advantages and fault tolerance, non-Gaussian resources are essential. In this work, we propose and analyze a method to generate a variety of non-Gaussian states using coherent photon subtraction from a two-mode squeezed state followed by photonnumber-resolving measurements. The proposed method offers a promising way to generate rotationsymmetric states conventionally used for quantum error correction with binomial codes and truncated Schrödinger cat codes. We consider the deleterious effects of experimental imperfections such as detection inefficiencies and losses in the state engineering protocol. Our method can be readily implemented with current quantum photonic technologies.

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“…where the sum is taken over even values of N. If we postselect N photons from this state, the state is equivalent to the Holland-Burnett state ñ |N N 2, 2 HV [13]. To generate the Yurke state [35], one photon is subtracted from the down-converted photon source, by detection of a single-photon in the D/A basis. After the one-photon subtraction, the conditional output is the five-photon Yurke state.…”

Section: Methodsmentioning

confidence: 99%

“…We report on an optical implementation of a spin-squeezing model which was originally considered by Yurke et al [33,34], and we investigate how sensitivity is improved in this model. Our setup generates five-photon Yurke states by postselecting on cases with five detection events from the state emitted by a parametric downconversion source after one photon subtraction [35], and we use spatially-multiplexed pseudo-number-resolving detection to reconstruct photon-number statistics at the output [15]. Our analysis demonstrates increased sensitivity from the observed optical Yurke state, using all five-photon coincidence outcomes.…”

Section: Introductionmentioning

confidence: 99%

Optical implementation of spin squeezing

et al. 2017

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Quantum metrology enables estimation of optical phase shifts with precision beyond the shot-noise limit. One way to exceed this limit is to use squeezed states, where the quantum noise of one observable is reduced at the expense of increased quantum noise for its complementary partner. Because shotnoise limits the phase sensitivity of all classical states, reduced noise in the average value for the observable being measured allows for improved phase sensitivity. However, additional phase sensitivity can be achieved using phase estimation strategies that account for the full distribution of measurement outcomes. Here we experimentally investigate a model of optical spin-squeezing, which uses post-selection and photon subtraction from the state generated using a parametric downconversion photon source, and we investigate the phase sensitivity of this model. The Fisher information for all photon-number outcomes shows it is possible to obtain a quantum advantage of 1.58 compared to the shot-noise value for five-photon events, even though due to experimental imperfection, the average noise for the relevant spin-observable does not achieve sub-shot-noise precision. Our demonstration implies improved performance of spin squeezing for applications to quantum metrology.

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Generation of a highly-phase-sensitive polarization-squeezedN-photon state by collinear parametric down-conversion and coherent photon subtraction

Cited by 11 publications

References 45 publications

Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements

All-optical Quantum State Engineering for Rotation-symmetric Bosonic States

Optical implementation of spin squeezing

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