Influence of squeezing on the weak-to-strong measurement transition

Araya-Sossa, Kevin; Orszag, Miguel

doi:10.1103/physreva.103.052215

Cited by 10 publications

(7 citation statements)

References 34 publications

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“…In order to explain the weak-to-strong measurement transition in the next section, here we introduce some concepts by following Ref. [72]. By taking the postselection process into account, a transition value is introduced to represent the values of the system observable σx in weak and strong measurement regimes which is defined as…”

Section: Basic Conceptsmentioning

confidence: 99%

“…They predicted that the two extreme limits fit well with the weak and strong measurement correspondences. Most recently, Orszag et al [72] examined the weak-to-strong measurement transition for coherent squeezed state, and theoretically proposed its implementation in 40 Ca + ion stored inside the Paul trap interacting with two laser fields as specific frequencies. They showed that the shift in the pointer's position and momentum variables establishes a relationship with a new value defined as the transition value, which can generalize the weak value (weak measurement regime) as well as the conditional expectation value (strong measurement regime).…”

Section: Introductionmentioning

confidence: 99%

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Single-photon-added coherent state based measurement transition and its advantages in precision measurement

Turek¹,

Islam²

2021

Preprint

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In this work, the measurement transition as well as precision measurement advantages of singlephoton-added coherent state after postselected von Neumann measurement are investigated. We noticed that the weak-to-strong measurement transition characterized by the shifts of pointer's position and momentum variables occurred in continuously by controlling a dimensionless parameter associated with system-pointer coupling. We calculate the ratio between the signal-to-noise ratios of nonpostselected and postselected measurements, and the latter is used to find the quantum Fisher information. We found that the single-photon-added coherent pointer state can improve the precision of the measurement processes such as signal-to-noise ratio and parameter estimation after postselected von Neumann measurement characterized by postselection and weak value. Furthermore, contrary to the results of several previous studies, we found that the anomalous large weak values can't improve the precision measurement processes related to single-photon-added coherent state.

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Section: Basic Conceptsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Single-photon-added coherent state based measurement transition and its advantages in precision measurement

Turek¹,

Islam²

2021

Preprint

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“…Suppose we choose the coherent squeezed state as a pointer, we also get the same result as Ref. [32] by using Eq. (30).…”

Section: A Position Shiftmentioning

confidence: 85%

“…In recent studies, the weak-to-strong measurement transition is investigated theoretically and experimentally by using different pointers [31,32]. However, the general approach for this issue has not been studied yet.…”

Section: General Approch Of Weak-to-strong Measurement Transitionmentioning

confidence: 99%

“…One of the interesting points in von Neumann measurement model is that the coupling strength between the measured system and pointer can take arbitrary value so that we can connect the weak and strong measurements by adjusting it. Recently, the weak-to-strong measurement transition problems are investigated experimentally [31] and theoretically [32,33] for some specific pointer states. However, the general approach of weak-to-strong measurement transition applicable for arbitrary pointers has not been studied yet.…”

Section: Introductionmentioning

confidence: 99%

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General approach of weak-to-strong measurement transition for Fock-state-based pointer states

Turek¹,

Yuanbek²

2022

Preprint

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Recently, the measurement transition between von Neumann's projective strong measurement and Aharonov's weak measurement is investigated theoretically and experimentally in many studies. In this work, the general formulas related to the weak-to-strong measurement transition are presented for Fock state based pointers, and as an example the coherent state based pointer case is illustrated. The possible ways to realize this proposal using the trapped ion system are also discussed.

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Approximation Method for Optimization Problems in Gate-Model Quantum Computers

Gyöngyösi

2021

Chaos, Solitons & Fractals: X

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Influence of squeezing on the weak-to-strong measurement transition

Cited by 10 publications

References 34 publications

Single-photon-added coherent state based measurement transition and its advantages in precision measurement

Single-photon-added coherent state based measurement transition and its advantages in precision measurement

General approach of weak-to-strong measurement transition for Fock-state-based pointer states

Approximation Method for Optimization Problems in Gate-Model Quantum Computers

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