A comparative analysis of two methods of realizing elementary logic operators for a quantum computer on qutrits

Shauro, V. P.; Pekhterev, D. I.; Zobov, V. E.

doi:10.1007/s11182-007-0084-6

Cited by 2 publications

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“…In terms of NMR, these generators can be compared with the selective ("soft") pulses affecting individual transitions in a three-level system. To implement this control method, the rf field frequency should be equal to the resonant frequency of one of the allowed transitions ( 0 rf q   ) and the pulse amplitude should meet the condition uq  [23,24,27]. Using a certain sequence of pulses applied at the different transitions, one may implement any unitary system evolution [16,17]; however, such a control is not time-optimal, since the control field is strictly limited.…”

Section: Optimal Control For Spin I=1 By Nmrmentioning

confidence: 99%

Exact solutions for time-optimal control of spin $$I=1$$ I = 1 by NMR

Shauro

2015

Quantum Inf Process

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We consider the problem of time-optimal control of quadrupole nucleus with the spin I=1 by NMR. In contrast to the conventional methods based on selective pulses, the control is implemented using nonselective pulses separated by free evolution intervals. Using the Cartan decomposition, the system of equations is obtained for finding parameters of a control field.Partial time-optimal solutions for the important single-qutrit gates (selective rotations and quantum Fourier transform) are found. The strong dependence of minimum gate implementation times on global phase of the gate is observed. The analytical values of minimum times are consistent with the numerical data.

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Section: Optimal Control For Spin I=1 By Nmrmentioning

confidence: 99%

Exact solutions for time-optimal control of spin $$I=1$$ I = 1 by NMR

Shauro

2015

Quantum Inf Process

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Lithium Quantum Consciousness

McCoss¹

2017

JQIS

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Conscious agency is considered to be founded upon a quantum state of mind Ξ. An original synthesis, called "Lithium Quantum Consciousness" (LQC), proposes that this quantum state utilises lithium-6 (spin-1) qutrit nuclear magnetic resonance (NMR) quantum information processing (QIP) in the connectome (brain-graph). In parallel to the connectome's processing of physiological controls, perception, cognition and intelligence via quantum electrodynamics (QED), the connectome also functions via its dynamic algebraic topology as a unitary transceiver antenna laced with lithium-6 nuclei which are spin-entangled with each other and with the environmental vortical gluon field via quantum chromodynamics (QCD). This unitary antenna (connectome) bestows the self its unity of consciousness within an intertwined-history multi-agent environment. An equivalence is proposed between Whitehead's occasions of experience and topological spacetime instantons in the vortical gluon field. Topological spacetime instantons pervade the vortical gluon field in a quantum information network of vortex interactions, herein termed the "instanton-net", or "Instanet" [sic]. The fermionic isotope lithium-6 has a very low nuclear binding energy and the smallest non-zero nuclear electric quadrupole moment of any stable nucleus making it susceptible to quantum chromodynamic (QCD) interaction with the vortical gluon field and ideal for spin-1 qutrit NMR-QIP. The compact spherical atomic orbital of lithium provides ideal rotational freedom inside tetrahedral water cages in organo 6 Li + (H 2 O) 4 within which the lithium nucleus rapidly tumbles for NMR motional narrowing and long decoherence times. Nuclear spin-entanglement, among water-caged lithium-6 nuclei in the connectome, is a spin-1 qutrit NMR-QIP resource for conscious agency. By contrast, similar tetrahedral xenon cages in organo 6 Li + Xe 4 excimers are postulated to decohere the connectome's NMR-QIP due to xenon's NMR signal being extremely sensitive to its molecular environment. By way of this quantum neurochemistry, lithium is an effective psychiatric medication for enhancing mood and xenon is an effective anaesthetic.

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A comparative analysis of two methods of realizing elementary logic operators for a quantum computer on qutrits

Cited by 2 publications

References 4 publications

Exact solutions for time-optimal control of spin $$I=1$$ I = 1 by NMR

Exact solutions for time-optimal control of spin $$I=1$$ I = 1 by NMR

Lithium Quantum Consciousness

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