Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Birrittella, Richard J.; Gerry, Christopher C.

doi:10.1364/josab.31.000586

Cited by 43 publications

(32 citation statements)

References 46 publications

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“…For both cases of |α |ξ, κ + and |α |ξ, κ − , the level of sensitivity gain increases significantly from 0 to 1 and gradually decreases as κ increases. This phenomenon is strongly related to the great increase of photon numbers in |ξ, κ + and |ξ, κ − [10], as shown in insert of Fig. 3(a) and (b).…”

Section: Sensitivities Enhanced By Photon Addition and Photon Subtracmentioning

confidence: 76%

“…The optimal τ opt and ϑ opt listed here for V 1 (φ d ) based on single-parameter estimation theory only hold under the condition of n b < 2n a , while when n b 2n a , V 1 (φ d ) gets the minimum at τ opt = 0 and ϑ opt ∈ [−π, π] due to 4V(J z ) > F. sion coefficient for a general family of quantum states with some parity symmetry, which requires that one of input ports is injected by an even or odd state [43]. This family encompasses a wide range of non-classical states employed in most current interferometric phase experiments [1][2][3][5][6][7][8][9][10][11]. If the input state is assumed to be of separable form |ψ in = |χ a |χ b (excluding the two-mode squeezed vacuum state (TMSVS)), then Eq.…”

Section: Input Statesmentioning

confidence: 99%

“…It remains unclear whether CS⊗PASVS and CS⊗PSSVS may outperform CS⊗SVS for the phase sensitivity. This allows us to revisit the scenarios considered in [10,67]. To clarify this issue, we need to calculate the maximal QFI for CS⊗PASVS and CS⊗PSSVS.…”

Section: Sensitivities Enhanced By Photon Addition and Photon Subtracmentioning

confidence: 99%

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Quantum-enhanced interferometry with asymmetric beam splitters

Zhong

Wang

Zhou

et al. 2020

Sci. China Phys. Mech. Astron.

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In this paper, we investigate the phase sensitivities in two-path optical interferometry with asymmetric beam splitters. Here, we present the optimal conditions for the transmission ratio and the phase of the beam splitter to gain the highest sensitivities for a general class of non-classical states with parity symmetry. Additionally, we address the controversial question of whether the scheme with a combination of coherent state and photon-added or photon-subtracted squeezed vacuum state is better or worse than the most celebrated one using a combination of coherent state and squeezed vacuum state.quantum metrology, quantum Fisher information, Heisenberg limit, optical interferometry PACS number(s): 03.67. 42.50.Dv, 42.50.Lc, 42.50.St

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Section: Sensitivities Enhanced By Photon Addition and Photon Subtracmentioning

confidence: 76%

Section: Input Statesmentioning

confidence: 99%

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Quantum-enhanced interferometry with asymmetric beam splitters

Zhong

Wang

Zhou

et al. 2020

Sci. China Phys. Mech. Astron.

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“…On the other hand, when the phase shift to be estimated slightly deviates from zero, whether the SVS with many photons is also the optimal state? For fixed initial squeezing parameter, Birrittella and Gerry claim that the corresponding sensitivity of the phase estimation can be increased via parity detection when the mixing of coherent states and photon-subtracted SVS (PSSVS) as input states of the MZI [24]. However, within a constraint on the total average photon number, whether the PSSVS can indeed improve the phase sensitivity?…”

Section: √Nmentioning

confidence: 99%

Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state

Wang

et al. 2019

Optics Communications

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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 state is indeed the optimal state within a constraint on the average number of photons. However, when the phase shift to be estimated slightly deviates from zero, the optimal state is neither the squeezed vacuum state nor the photonsubtracted squeezed vacuum state, but the photon-added squeezed vacuum state when they carry many photons. Finally, we show that the quantum Cramér-Rao bound can be reached by parity detection.PACS number(s): 42.50.Dv,03.65.Ta

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“…Photonsubtracted states have recently attracted interest because of their applications in quantum communication, quantum computation, and quantum metrology [17][18][19][20][21][22][23][24][25]. In contrast with the conventional approach in utilizing quantum states of light in metrology, we propose to implement the photon-subtraction immediately before detection.…”

mentioning

confidence: 99%

Quantum-enhanced interferometry with weak thermal light

Rafsanjani¹,

Mirhosseini²,

Magaña‐Loaiza³

et al. 2017

Optica

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We propose and implement a quantum procedure for enhancing the sensitivity with which one can determine the phase shift experienced by a weak light beam possessing thermal statistics in passing through an interferometer. Our procedure entails subtracting exactly one (which can be generalized to m) photons from the light field exiting an interferometer containing a phase-shifting element in one of its arms. As a consequence of the process of photon subtraction, and somewhat surprisingly, the mean photon number and signal-to-noise ratio of the resulting light field are thereby increased, leading to enhanced interferometry. This method can be used to increase measurement sensitivity in a variety of practical applications, including that of forming the image of an object illuminated only by weak thermal light.Interferometry is the technique of choice for many of the most sensitive physical measurements to date [1]. It underlies many monumental discoveries in physics, such as Young's double slit experiment, the Michelson-Morley experiment that established the special theory of relativity, and recently and spectacularly in gravitational wave detection [1]. Apart from these foundational contributions, interferometry also plays an important role in many applications in optical metrology and imaging of astronomical objects, e.g. in stellar Michelson interferometry [2,3]. These applications often deal with sources of light that possess thermal statistics. The fluctuations in the number of photons of a thermal state is given by n(n + 1) wheren is the average number of photons contained in the field. For a dim source of thermal light, the magnitude of these fluctuations becomes comparable or even larger thann, overwhelming interferometric signals which are obtained by averaging the number of photons.Ever since the advent of modern quantum optics, strategies have been developed to harness the quantum nature of light in order to enhance the accuracy of interferometric measurements [4][5][6][7][8][9]. These proposals use exotic quantum states of light, e.g. squeezed states or entangled states, to probe the physical process of interest [4,[10][11][12][13][14][15][16]. Unfortunately such an arrangement is infeasible when the object of interest is a remote source of light that possesses thermal statistics. Thus, it remains highly desirable to establish a protocol for increasing the sensitivity of interferometry by distilling the statistical information already contained in the collected light, rather than changing the nature of illumination.Here we describe a means to enhance the phase sensitivity of interferometry based on the use of photonsubtracted thermal states, which are quantum states obtained by removing a fixed number of photons from a light field that possesses thermal statistics [17]. Photonsubtracted states have recently attracted interest because of their applications in quantum communication, quantum computation, and quantum metrology [17][18][19][20][21][22][23][24][25]. In contrast with the conventional approach i...

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Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Cited by 43 publications

References 46 publications

Quantum-enhanced interferometry with asymmetric beam splitters

Quantum-enhanced interferometry with asymmetric beam splitters

Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state

Quantum-enhanced interferometry with weak thermal light

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