Quantum metrology with a transmon qutrit

Shlyakhov, A. R.; Zemlyanov, V. V.; Suslov, M. V.; Лебедев, А. В.; Paraoanu, G. S.; Lesovik, G. B.; Blatter, G.

doi:10.1103/physreva.97.022115

Cited by 49 publications

(44 citation statements)

References 25 publications

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“…In all these cases, it is always possible to find intermediate states where lower dimensional transformations can be used. For illustrative purposes, we start with a six-dimensional initial pure coherent state |ψ and six-dimensional final pure coherent state |φ such that µ(ψ) = 1 53 (11,11,8,8,8,7) T ,…”

Section: Explicit Example For Protocol II With Discussionmentioning

confidence: 99%

Deterministic transformations of coherent states under incoherent operations

Torun

Yıldız

2018

Phys. Rev. A

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Section: Explicit Example For Protocol II With Discussionmentioning

confidence: 99%

Deterministic transformations of coherent states under incoherent operations

Torun

Yıldız

2018

Phys. Rev. A

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“…Using the V Si in SiC, it has been demonstrated the manipulation and control of spin qudits (4 dimensions quantum states) [176], owing to the defect 4 projections of their spin states. Higher dimensions quantum states have shown promises to improve quantum metrology [177].…”

Section: Spin-photon Entanglement Interfaces For Quantum Metrology Anmentioning

confidence: 99%

Silicon carbide color centers for quantum applications

2020

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Silicon carbide has recently surged as an alternative material for scalable and integrated quantum photonics, as it is a host for naturally occurring color centers within its bandgap, emitting from the UV to the IR even at telecom wavelength. Some of these color centers have been proved to be characterized by quantum properties associated with their single-photon emission and their coherent spin state control, which make them ideal for quantum technology, such as quantum communication, computation, quantum sensing, metrology and can constitute the elements of future quantum networks. Due to its outstanding electrical, mechanical, and optical properties which extend to optical nonlinear properties, silicon carbide can also supply a more amenable platform for photonics devices with respect to other wide bandgap semiconductors, being already an unsurpassed material for high power microelectronics. In this review, we will summarize the current findings on this material color centers quantum properties such as quantum emission via optical and electrical excitation, optical spin polarization and coherent spin control and manipulation. Their fabrication methods are also summarized, showing the need for on-demand and nanometric control of the color centers fabrication location in the material. Their current applications in single-photon sources, quantum sensing of strain, magnetic and electric fields, spin-photon interface are also described. Finally, the efforts in the integration of these color centers in photonics devices and their fabrication challenges are described.proved to host these types of color centers, we can now determine that the material has approached the quality needed for quantum applications development.The first bulk material studied for applications in quantum technology is diamond. It was possible to isolate single color centers and determine their role for application in quantum technologies. As an example, the nitrogen-vacancy (NV) center [10], hosted by the diamond matrix, has become the leading color center in applications such as quantum sensing [11], which is a more achievable application on the road map towards quantum networks. Further, other color centers such as the Germanium vacancy (GeV) [12] and the siliconvacancy (SiV) [13] in diamond proved to have an enormous potential for quantum optical spin-photon interface due to their narrow bandwidth emission [14]. The wide bandgap of the diamond, together with its weak spinorbit coupling and diluted nuclear-spin bath, gives to diamond color centers a remarkable spin coherence, and isotope engineering can enhance it further, due to the possibility of growing highly pure samples [15]. SiC also enjoys most of these properties, and benefits from mature production protocols on a large scale which are available for silicon, excellent nanofabrication quality [16], and capability of ion implantation without the side effects typical of the diamond, such as graphitization during irradiation [17]. However, diamond has some limitations in this respect in...

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“…In fact, we will show below that for the phase measurement of multi-qubit states an adaptive approach to the selection of the measurements yields an improvement in the efficiency as compared to the non-adaptive approach. It is worth mentioning that the result in equation (15) indicates that our increase in the knowledge of the system satisfies the standard quantum limit (SQL).…”

Section: Efficiency Of the Parameter Learning Processmentioning

confidence: 99%

“…where f is an unknown but constant phase. Estimates of this phase shift can be obtained by performing Ramsey-type experiments [5,6] and, more recently, by adaptive methods based on application of Bayesian inference [7][8][9][10][11][12][13][14][15]. Most of these adaptive methods select the measurement to be performed by numerical optimisation of the information gained based on the results obtained in the previous measurements.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Bayesian phase estimation for quantum error correcting codes

2019

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Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum states becomes more difficult since the number of parameters to be measured grows as well and finding efficient observables in order to estimate the parameters of the model becomes a crucial task. Here we propose a method relying on application of Bayesian inference that can be used to determine systematic, unknown phase shifts of multi-qubit states. This method offers important advantages as compared to Ramsey-type protocols. First, application of Bayesian inference allows the selection of an adaptive basis for the measurements which yields the optimal amount of information about the phase shifts of the state. Secondly, this method can process the outcomes of different observables at the same time. This leads to a substantial decrease in the resources needed for the estimation of phases, speeding up the state characterisation and optimisation in experimental implementations. The proposed Bayesian inference method can be applied in various physical platforms that are currently used as quantum processors.

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Quantum metrology with a transmon qutrit

Cited by 49 publications

References 25 publications

Deterministic transformations of coherent states under incoherent operations

Deterministic transformations of coherent states under incoherent operations

Silicon carbide color centers for quantum applications

Adaptive Bayesian phase estimation for quantum error correcting codes

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