Heisenberg limited Sagnac interferometry

Kolkiran, Aziz; Agarwal, G. S.

doi:10.1364/oe.15.006798

Cited by 31 publications

(21 citation statements)

References 37 publications

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“…(7) for N = 2; therefore, we expect this scheme to yield both maximum resolution and sensitivity. We now estimate the angular resolution and sensitivity through use of the following measurement operator [9]:…”

Section: Supersensitive Measurement With Two Entangled Photonsmentioning

confidence: 99%

“…More recent works have shown that the use of nonclassical states of light can lead to improved sensitivity in optical-phase measurements [3][4][5][6]. In particular, it has been shown that an N -photon entangled-state input to an interferometer gives rise to phase super-resolution [5,[7][8][9][10], that is, the narrowing of interference fringes by N times compared to the fringes obtained with classical schemes at the same wavelength. It has also been shown that with N entangled photons the uncertainty in the estimation of optical phase scales as 1/N , in contrast to the 1/ √ N scaling obtained using N nonentangled photons [11,12].…”

Section: Introductionmentioning

confidence: 99%

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Supersensitive measurement of angular displacements using entangled photons

2011

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We show that the use of path-entangled states of photons, having nonzero orbital angular momentum (OAM), increases the resolution and sensitivity of angular-displacement measurements performed using an interferometer. In the ideal case of maximally path-entangled states, the resolution of angular-displacement measurements increases by a factor of Nl, while the uncertainty in the measurement of angular displacements scales as 1/N l, where N is the number of entangled photons, half of which carry, on average, an OAM of +lh per photon and the other half carry an OAM of −lh per photon. We analyze measurement schemes for two-and four-photon entangled states produced by parametric down-conversion and, by employing a 4×4 matrix formalism to study the propagation of entangled OAM modes, obtain explicit expressions for the resolution and sensitivity in these schemes. These results constitute an improvement over what could be obtained with N nonentangled photons carrying an orbital angular momentum of |l|h per photon. −l ). Using Eqs. (25)-(27), we solve Eq. (30) to obtain the following operator relations:

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Section: Supersensitive Measurement With Two Entangled Photonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Supersensitive measurement of angular displacements using entangled photons

2011

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“…Notice that ϕ b has the same sign in two Sagnac interferometers. In the following, we deduce the response function of the balanced Sagnac sensor by using the equivalent optical network theory [39] and simply modeling the birefringent Sagnac loop as a wave-plate with one phase retardation.…”

Section: Principlesmentioning

confidence: 99%

A Fiber Optic PD Sensor Using a Balanced Sagnac Interferometer and an EDFA-Based DOP Tunable Fiber Ring Laser

Wang

Fang

et al. 2014

Sensors

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A novel fiber-optic acoustic sensor using an erbium-doped fiber amplifier (EDFA)-based fiber ring laser and a balanced Sagnac interferometer for acoustic sensing of the partial discharge (PD) in power transformers is proposed and demonstrated. As a technical background, an experimental investigation on how the variations of the fiber birefringence affect the sensor performances was carried out, and the results are discussed. The operation principles are described, and the relevant formulas are derived. The analytical results show that an EDFA-based fiber ring laser operating in chaotic mode can provide a degree of polarization (DOP) tunable light beam for effectively suppressing polarization fading noises. The balanced Sagnac interferometer can eliminate command intensity noises and enhance the signal-to-noise ratio (SNR). Furthermore, it inherently operates at the quadrature point of the response curve without any active stabilizations. Several experiments are conducted for evaluating the performances of the sensor system, as well as for investigating the ability of the detection of high-frequency acoustic emission signals. The experimental results demonstrate that the DOP of the laser beam can be continuously tuned from 0.2% to 100%, and the power fluctuation in the whole DOP tuning range is less than 0.05 dBm. A high-frequency response up to 300 kHz is reached, and the high sensing sensitivity for detections of weak corona discharges, as well as partial discharges also is verified.

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“…More recently, the classical optical Sagnac effect [1][2][3][4], which measures rotation rate along an axis, is being exploited in all modern rotation sensors [5] and their applications to inertial navigation systems [6]. Even more recently, much effort has been expended on experiments with quantum Sagnac interferometers, using single-photons [7], using cold atoms [8,9] and using Bose-Einstein condensates(BEC) [10][11][12], in efforts to improve the sensitivity to rotation of the classical optical Sagnac effect, and schemes have also been proposed to improve the sensitivity of rotation sensing using multi-photon correlations [13] and using entangled particles, which are expected to have Heisenberg limited precision that scales as 1/N , where N is the number of particles [14]. Limitations of classical gyroscopes have been discussed in Ref [5] and limits of classical Sagnac effects has been discussed in terms of Shannon mutual information in Ref [15].…”

Section: Introductionmentioning

confidence: 99%

Transfer of spatial reference frame using singlet states and classical communication

Bahder

2016

Quantum Inf Process

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A simple protocol is described for transferring spatial direction from Alice to Bob (two spatially separated observers) up to inversion. The two observers are assumed to share quantum singlet states and classical communication. The protocol assumes that Alice and Bob have complete free will (measurement independence) and is based on maximizing the Shannon mutual information between Alice and Bob's measurement outcomes. Repeated use of this protocol for each spatial axis of Alice allows transfer of a complete 3-dimensional reference frame, up to inversion of each of the axes. The technological complexity of this protocol is similar to that needed for BB84 quantum key distribution, and hence is much simpler to implement than recently proposed schemes for transmission of reference frames. A second protocol based on a Bayesian formalism is also presented.

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Heisenberg limited Sagnac interferometry

Cited by 31 publications

References 37 publications

Supersensitive measurement of angular displacements using entangled photons

Supersensitive measurement of angular displacements using entangled photons

A Fiber Optic PD Sensor Using a Balanced Sagnac Interferometer and an EDFA-Based DOP Tunable Fiber Ring Laser

Transfer of spatial reference frame using singlet states and classical communication

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