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Ancilla-assisted frequency estimation under phase covariant noises with Greenberger-Horne-Zeilinger states
[article]
2020
arXiv
pre-print
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It has been demonstrated that the optimal sensitivity achievable with Greenberger-Horne-Zeilinger states is the same as that with uncorrelated probes in the frequency estimation in the presence of uncorrelated ...
Here, we extend this issue by examining the optimal frequency sensitivities achievable by the use of ancilla-assisted strategy, which has been proposed recently for robust phase estimation. ...
This is well-known Heisenberg limit 1/N and attainable by means of Greenberger-Horne-Zeilinger (GHZ) states [12, 13] . However, these exotic states are of extremely delicate and fragile. ...
arXiv:2006.11498v1
fatcat:fgmxhrlobngozh4gt2l4kauycu
A Geometric Perspective on Quantum Parameter Estimation
[article]
2019
arXiv
pre-print
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estimation using Gaussian states. ...
with classical technologies. ...
Greenberger, M. A. Horne, and A. Zeilinger, in Bell’s Theorem, 100 A. Fujiwara, J. Phys. A: Math. Gen. 39, 12489 (2006). ...
arXiv:1907.06628v2
fatcat:qj2t5a4lrfh57iutl25ns2tfge
Experimental progress on quantum coherence: detection, quantification, and manipulation
[article]
2021
arXiv
pre-print
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We then consider experimental detection and quantification of coherence, experimental state conversion and coherence distillation, and experiments investigating the dynamics of quantum coherence. ...
Therein, the authors generate highly entangled three-and four-qubit states -the Greenberger-Horne-Zeilinger state, W state, and cluster state -and use stabilizer measurements to ensure that measuring few ...
In particular, after preparation in a generalized Bell diagonal state, the multiqubit ensemble is left to evolve under phase damping noise. ...
arXiv:2105.06854v1
fatcat:mmuzol24cndr5mufjs4ifalway
Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
[article]
2022
arXiv
pre-print
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We study the estimation precision attainable by entanglement-enhanced Ramsey interferometry in the presence of spatiotemporally correlated non-classical noise. ...
As a result, superclassical precision scaling is asymptotically restored for initial entangled states, including experimentally accessible one-axis spin-squeezed states. ...
L.V. also acknowledges valuable exchange with John Gough on issues related to classicality of open quantum dynamics. ...
arXiv:2204.10798v1
fatcat:kqsohq2xpre4vc3nqbstazvi4y
Photonic Quantum Metrology
[article]
2020
arXiv
pre-print
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Here we review the basic concepts behind quantum metrology and then focus on the application of photonic technology for this task, with particular attention to phase estimation. ...
of noise. ...
A class of N00N-like states, where photons are distributed along different modes (for example N photons along N spatial modes maximally entangled in the polarization degree of freedom), are called Greenberger-Horne-Zeilinger ...
arXiv:2003.05821v1
fatcat:rptsonccwnh7lkib5jybb2wkra
Photonic quantum metrology
2020
AVS Quantum Science
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along N spatial modes maximally entangled in the polarization degree of freedom), are called Greenberger-Horne-Zeilinger (GHZ) states. 447 Such states were realized with up to 10 spatially separated ...
Finally, ancilla-assisted schemes 232,704-708 are those where a part of the probe, generally entangled with the other part, does not interact with the system and is directly measured. ...
doi:10.1116/5.0007577
fatcat:6ueiotef5jgjva4nkgamwcjc5y
Quantum-enhanced measurements without entanglement
2018
Reviews of Modern Physics
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parameters or parameters characterizing non-equilibrium states; and the use of quantum phase transitions. ...
In the following we review alternative mechanisms, notably the use of more general quantum correlations such as quantum discord, identical particles, or non-trivial hamiltonians; the estimation of thermodynamical ...
For instance, thinking of each probe as a qubit for simplicity, and fixing the generator H to be the Pauli matrix σ z , one can either consider a parallel scheme with N input probes in the Greenberger-Horne-Zeilinger ...
doi:10.1103/revmodphys.90.035006
fatcat:bjyimoxvffa5jgvq73yo7t2rjm
Quantum metrology with nonclassical states of atomic ensembles
2018
Reviews of Modern Physics
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2017 pre-print arXiv:1609.01609v2 fatcat:ikonjrbninfo5ih6nmeaidrcfqOther Versions
All these factors call for generating non-classical atomic states designed for phase estimation in atomic clocks and atom interferometers, exploiting many-body entanglement to increase the sensitivity ...
The goal of this article is to review and illustrate the theory and the experiments with atomic ensembles that have demonstrated many-particle entanglement and quantum-enhanced metrology. ...
Acknowledgments 59
ACKNOWLEDGMENTS We are indebted to our colleagues and collaborators with whom we have shared many useful discussions over the past years. In particular, we would like to thank B. ...
doi:10.1103/revmodphys.90.035005
fatcat:k3fepsgx6ndd7cmvw2zj7i46ii
Quantum information with Gaussian states
2007
Physics reports
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2008 pre-print arXiv:0801.4604v1 fatcat:sjimwskwerbuxl3x5xzc63p3fy
and strong Gaussian states and the quantum channel capacity, mathematical theory of quantum entanglement and state estimation for Gaussian states. ...
Extending the existing results of quantum information with discrete quantum states to the case of continuous variable quantum states is an interesting theoretical job. ...
Then, there exists a vector Φ such that Φ ∈ N ∩ N ( This is a subspace of the phase space X B and is defined as the phase space of the subsystem C (dim X C = 2f C ). ...
doi:10.1016/j.physrep.2007.04.005
fatcat:qouvjxyqlfewfgxj435qpa3a2a
Thermometry in the quantum regime: Recent theoretical progress
[article]
2019
arXiv
pre-print
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In this review, we report the most recent theoretical developments dealing with accurate estimation of very low temperatures in quantum systems. ...
At a fundamental level, theoretical quantum thermometry is concerned with finding the ultimate bounds and scaling laws that limit the precision of temperature estimation for systems in and out-of-thermal ...
As it turns out, preparing the probe in a maximally entangled Greenberger-Horne-Zeilinger (GHZ) state [209] and choosing Ω > 0 leads to a maximum transient quantum Fisher information larger than its ...
arXiv:1811.03988v2
fatcat:p5rkxgbrdvhplcq3dblnpeu72u
Phase Transitions in Light-Matter Systems for Quantum Sensing
[article]
2021
arXiv
pre-print
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2020 pre-print arXiv:2011.01995v1 fatcat:cheq4jbvbrdt3arn4mt2lns6nm
We show that even this finite-size system displays a phase transition, which can be used to measure the frequency of the qubit and the field with improved accuracy. ...
This mechanism creates a rich phase diagram containing both phase transitions and instabilities. A second topic is the use of these transitions for sensing applications. ...
limit can be achieved by using Greenberger-Horne-Zeilinger (GHZ) states |ψ 0 ⟩ = |↓↓..↓⟩+|↑↑..↑⟩ √
. ...
arXiv:2011.01995v2
fatcat:uigxgjp6avdqxidef77f5fx2se
Noisy intermediate-scale quantum (NISQ) algorithms
[article]
2021
arXiv
pre-print
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A universal fault-tolerant quantum computer that can solve efficiently problems such as integer factorization and unstructured database search requires millions of qubits with low error rates and long ...
In the search for quantum advantage with these devices, algorithms have been proposed for applications in various disciplines spanning physics, machine learning, quantum chemistry and combinatorial optimization ...
The Greenberger-Horne-Zeilinger (GHZ) state, which is an essential resource in several quantum metrology proposals (Dür et al., 2014; Tóth and Apellaniz, 2014) , is an example of a non-trivial quantum ...
arXiv:2101.08448v2
fatcat:eawbcaxikjeb7d3wqbjhutjdxy
Quantum discord and its allies: a review of recent progress
2017
Reports on progress in physics (Print)
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We review concepts and methods associated with quantum discord and related topics. ...
We also describe their possible connections with other aspects of quantum information and beyond, including quantum communication, quantum computation, many-body physics, and open quantum dynamics. ...
state
GHZ
Greenberger-Horne-Zeilinger state
GQD
Geometric quantum discord
gW
Generalized W state
JC
Jaynes-Cummings model
LB
Locally broadcastable
LN
Logarithmic negativity
LU
Local ...
doi:10.1088/1361-6633/aa872f
pmid:28824014
fatcat:5yc5ehrgxzbzvp3cphtujad7xu
Modern applications of machine learning in quantum sciences
[article]
2022
arXiv
pre-print
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We cover the use of deep learning and kernel methods in supervised, unsupervised, and reinforcement learning algorithms for phase classification, representation of many-body quantum states, quantum feedback ...
This framework allows for the simulation of circuits that build Greenberger-Horne-Zeilinger and linear graph states of up to 60 qubits. ...
Moreover, we discuss how ML methods assist researchers in tasks related to density estimation, as well as optimizations and speed-up of scientific experiments. ...
arXiv:2204.04198v1
fatcat:rae77aetd5hahnovchru6kjbcy
Quantum entanglement
2009
Reviews of Modern Physics
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All our former experience with application of quantum theory seems to say: what is predicted by quantum formalism must occur in laboratory. ...
An example of state admitting Schmidt decomposition in the d m case is the generalized Greenberger-Horne-Zeilinger state ͉⌿ A 1 ,. . .,A m ͘ = ͚ i=1 min͓d A 1 ,. . . ...
change under adding local ancilla͒. ...
doi:10.1103/revmodphys.81.865
fatcat:6ahjbb4iyzfn5jgsocbeodmsqm
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