From<i>n</i>-qubit multi-particle quantum teleportation modelling to<i>n</i>-qudit contextuality based quantum teleportation and beyond

Srivastava, Dayal Pyari; Sahni, Vishal; Satsangi, P. S.

doi:10.1080/03081079.2017.1308361

Cited by 12 publications

(5 citation statements)

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“…Magic state distillation [1], the leading approach to fault-tolerant quantum computation, has been used by Howard et al [2] to identify contextuality [3,4] as a "necessary and possibly sufficient" resource for universal quantum computation. This is a satisfying connection, because contextuality provides a precise operational distinction [5][6][7][8][9][10] between quantum and classical mechanics and acts as a natural obstruction to classical simulation.…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Contextual bound states for qudit magic state distillation

Prakash

Gupta

2020

Phys. Rev. A

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Identifying necessary and sufficient conditions for universal quantum computing is a long-standing open problem for which contextuality is, perhaps, the only promising solution [Howard et al. Nature 510, 351 (2014)]. To justify this conjecture, Howard et al. showed that contextuality is equivalent to Wigner negativity for qudits, and is therefore necessary and possibly sufficient for qudit magic state distillation. Here, we reformulate magic state distillation in the language of discrete phase space, to show that any finite qudit magic state distillation routine contains bound states outside the Wigner polytope -these states exhibit contextuality but are useless for magic state distillation.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Contextual bound states for qudit magic state distillation

Prakash

Gupta

2020

Phys. Rev. A

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“…It also augurs well for the future of humanity that social communities like Dayalbagh have begun to implement hands-on measures in the form of long-term social experiments. Indeed, in a recent path-breaking research, Srivastava et al (2017) discussed how information teleportation could occur using the phenomenon of quantum entanglement, opening a realm of opportunities for superintelligent machines. The paper also emphasizes the need for imbibing values and qualities in humans toward the development of supermen to prevent any possible misuse of these superintelligent machines.…”

Section: Discussionmentioning

confidence: 99%

Evolution and control of artificial superintelligence (ASI): a management perspective

Narain

Swami

Srivastava³

et al. 2019

JAMR

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Purpose The purpose of this paper is to address both the evolutionary and control aspects associated with the management of artificial superintelligence. Through empirical analysis, the authors examine the diffusion pattern of those high technologies that can be considered as forerunners to the adoption of artificial superintelligence (ASI). Design/methodology/approach The evolutionary perspective is divided into three parts, based on major developments in this area, namely, robotics, automation and artificial intelligence (AI). The authors then provide several dynamic models of the possible future evolution of superintelligence. These include diffusion modeling, predator–prey models and hostility models. The problem of control in superintelligence is reviewed next, where the authors discuss Asimov’s Laws and IEEE initiative. The authors also provide an empirical analysis of the application of diffusion modeling to three technologies from the industries of manufacturing, communication and energy, which can be considered as potential precursors to the evolution of the field of ASI. The authors conclude with a case study illustrating emerging solutions in the form of long-term social experiments to address the problem of control in superintelligence. Findings The results from the empirical analysis of the manufacturing, communication and energy sectors suggest that the technology diffusion model fits well with the data of robotics, telecom and solar installations till date. The results suggest a gradual diffusion process, like any other high technology. Thus, there appears to be no threat of “existential catastrophe” (Bostrom, 2014). The case study indicates that any future threat can be pre-empted by some long-term social measures. Originality/value This paper contributes to the emerging stream of artificial superintelligence. As humanity comes closer to grappling with the important question of the management and control of this technology for the future, it is important that modeling efforts be made to understand the extant perspective of the development of the high-technology diffusion. Presently, there are relatively few such efforts available in the literature.

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“…|T states are farther from the stabilizer octahedron than |H states, so they may, in principle, be distilled with higher threshold to noise. In contrast, qudit state space is substantially more abstract (see, e.g., [28][29][30][31][32][33][34]). To overcome this difficulty, we perform some elementary but hopefully useful calculations with a view towards facilitating future work on qudit magic state distillation.…”

Section: Introductionmentioning

confidence: 99%

Qutrit and Ququint Magic States

Jain,

Prakash

2020

Preprint

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Non-stabilizer eigenstates of Clifford operators are natural candidates for endpoints of magic state distillation routines. We provide an explicit bestiary of all inequivalent non-stabilizer Clifford eigenstates for qutrits and ququints. For qutrits, there are four non-degenerate eigenstates, and two families of degenerate eigenstates. For ququints, there are eight non-degenerate eigenstates, and three families of degenerate eigenstates. Of these states, a simultaneous eigenvector of all Clifford symplectic rotations known as the qutrit strange state is distinguished as both the most magic qutrit state and the most symmetric qutrit state. We show that no analogue of the qutrit strange state (i.e., no simultaneous eigenvector of all symplectic rotations) exists for qudits of any odd prime dimension d > 3.

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Fromn-qubit multi-particle quantum teleportation modelling ton-qudit contextuality based quantum teleportation and beyond

Cited by 12 publications

References 10 publications

Contextual bound states for qudit magic state distillation

Contextual bound states for qudit magic state distillation

Evolution and control of artificial superintelligence (ASI): a management perspective

Qutrit and Ququint Magic States

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