Detecting quantumness in uniform precessions

Zaw, Lin Htoo; Cenxin, Aw, Clive; Lasmar, Zakarya; Scarani, Valerio

doi:10.1103/physreva.106.032222

Cited by 7 publications

(4 citation statements)

References 25 publications

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“…Future work will focus on exploiting the large Hilbert space for the creation of Schrödinger cat states 51 . These may have application in quantum sensing 52 , to beat the standard quantum limit of phase estimation, and in quantum foundations, to prove that the simple probing of a spin precession can be sufficient to detect quantumness 53 . Another quantum foundations experiment afforded by the large Hilbert space is the test of the reality of the quantum state, where the bound on the inadequacy of a purely epistemic view becomes tighter in higher dimensions 54 .…”

Section: Discussionmentioning

confidence: 99%

Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields

Fernández de Fuentes,

Botzem,

Johnson

et al. 2024

Nat Commun

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Efficient scaling and flexible control are key aspects of useful quantum computing hardware. Spins in semiconductors combine quantum information processing with electrons, holes or nuclei, control with electric or magnetic fields, and scalable coupling via exchange or dipole interaction. However, accessing large Hilbert space dimensions has remained challenging, due to the short-distance nature of the interactions. Here, we present an atom-based semiconductor platform where a 16-dimensional Hilbert space is built by the combined electron-nuclear states of a single antimony donor in silicon. We demonstrate the ability to navigate this large Hilbert space using both electric and magnetic fields, with gate fidelity exceeding 99.8% on the nuclear spin, and unveil fine details of the system Hamiltonian and its susceptibility to control and noise fields. These results establish high-spin donors as a rich platform for practical quantum information and to explore quantum foundations.

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Section: Discussionmentioning

confidence: 99%

Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields

Fernández de Fuentes,

Botzem,

Johnson

et al. 2024

Nat Commun

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show abstract

“…Using Equation (D20) in ref. 5 , one obtains that Φ Ã ! À0:5 þ 1:5 ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 0:17491 p ¼ 0:1262.…”

Section: Scenariomentioning

confidence: 99%

“…We thank Valerio Scarani for interesting discussions, Reinhard Werner for pointing us to reference 15 , and Zaw Lin Htoo for pointing to us that using (D20) of 5 one can slightly improve our numerical bound of Section V.D.T. is a recipient of a DOC Fellowship of the Austrian Academy of Sciences at the Institute of Quantum Optics and Quantum Information (IQOQI), Vienna.…”

Section: Acknowledgementsmentioning

confidence: 99%

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Quantum advantages for transportation tasks - projectiles, rockets and quantum backflow

Trillo

Navascués

2023

npj Quantum Inf

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Consider a scenario where a quantum particle is initially prepared in some bounded region of space and left to propagate freely. After some time, we verify if the particle has reached some distant target region. We find that there exist ‘ultrafast’ (‘ultraslow’) quantum states, whose probability of arrival is greater (smaller) than that of any classical particle prepared in the same region with the same momentum distribution. For both projectiles and rockets, we prove that the quantum advantage, quantified by the difference between the quantum and optimal classical arrival probabilities, is limited by the Bracken-Melloy constant cbm, originally introduced to study the phenomenon of quantum backflow. In this regard, we substantiate the 29-year-old conjecture that cbm ≈ 0.038 by proving the bounds 0.0315 ≤ cbm ≤ 0.072. Finally, we show that, in a modified projectile scenario where the initial position distribution of the particle is also fixed, the quantum advantage can reach 0.1262.

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Dynamics-based quantumness certification of continuous variables using time-independent Hamiltonians with one degree of freedom

Zaw,

Scarani

2023

Phys. Rev. A

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Detecting quantumness in uniform precessions

Cited by 7 publications

References 25 publications

Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields

Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields

Quantum advantages for transportation tasks - projectiles, rockets and quantum backflow

Dynamics-based quantumness certification of continuous variables using time-independent Hamiltonians with one degree of freedom

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