Introduction to Quantum Computers

Berman, G. P.; Doolen, Gary D.; Mainieri, Ronnie; Tsifrinovich, V. I.

doi:10.1142/3808

Cited by 122 publications

(101 citation statements)

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“…We note that from the relation dF SdT = , ( ) F T being the free energy (temperature) , we note that the free energy per unit volume associated with the entropy given by eqn. (34)…”

Section: Enyanglement Entropy and Dna Moleculesmentioning

confidence: 99%

“…We find the effect of noise in the Berry phase of quantized spinor and in its entangled state both in the presence and the absence of spin -echo method, on the influence of classical fluctuation of field on Berry phase of spin ½ particle. [33][34][35] We define noise by a shift like residual dipolar couplings crucially (RDCs). If we consider that with the lapse of time, the parameter λ suffer a deviation λ λ δλ…”

Section: Effect Of Noise On Dna Spin Chainmentioning

confidence: 99%

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Transcription of genetic information in the framework of quantum information theory

Roy¹

2019

PAIJ

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In this paper we have considered here that the DNA molecule can be treated as a spin system when spins are located on the axis forming an antiferromagnetic chain. When spins are described in the Lie algebra of () 2 SU the linking number can be ascertained from the Chern-Simons topology associated with the spin system. It is shown that bend and twist are not two separate entities but one depends on the other, also other hand entanglement of two DNA molecule inserting spin-echo to one of them marks the transform of Berry phase that can be exact as a calculate of entanglement. This formalism helps us to depict the thermodynamic entropy as entanglement entropy and the entanglement of spin can be used as a resource for genetic information and the transcription of genetic information can be considered in the framework of quantum information theory.

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“…We note that from the relation dF SdT = , ( ) F T being the free energy (temperature) , we note that the free energy per unit volume associated with the entropy given by eqn. (34)…”

Section: Enyanglement Entropy and Dna Moleculesmentioning

confidence: 99%

Section: Effect Of Noise On Dna Spin Chainmentioning

confidence: 99%

Transcription of genetic information in the framework of quantum information theory

Roy¹

2019

PAIJ

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“…In fact, although the Vienna conference meeting took place in 1996 rather than 1999, this remark (and similar remarks as to that) do(es) not actually refer to the reality of ongoing research: As Seth Lloyd points out in his book from 2006 ( [13], p. 52), already as early as in the sixties of the last century Fredkin and Zuse visualized the universe as a digital computer, a line of argument that Wolfram has followed more recently in his work on cellular automata published in 2002. Not to speak of the more recent theories on quantum information [14][15][16] which generically couple to theories of quantum gravity: One of the leading protagonists is David Deutsch here for whom "… [b]its, Boolean variables, and classical computation are all emergent or approximate properties of qubits, manifested mainly when they undergo decoherence" ( [17], p. 93). In other words: "The world is made of qubits ….…”

Section: Fundamental Physics As An Anchor For a General Understandingmentioning

confidence: 99%

Emergence and Evolution of Meaning: The General Definition of Information (GDI) Revisiting Program—Part I: The Progressive Perspective: Top-Down

Zimmermann¹,

Nafría

2012

Information

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In this first part of the paper, the category of meaning is traced starting from the origin of the Universe itself as well as its very grounding in pre-geometry (the second part deals with an appropriate bottom-up approach). In contrast to many former approaches in the theories of information and also in biosemiotics, we will show that the forms of meaning emerge simultaneously (alongside) with information and energy. Hence, information can be visualized as being always meaningful (in a sense to be explicated) rather than visualizing meaning as a later specification of information within social systems only. This perspective taken has two immediate consequences: (1) We follow the GDI as defined by Floridi, though we modify it somehow as to the aspect of truthfulness. (2) We can conceptually solve Capurro’s trilemma. Hence, what we actually do is to follow the strict (i.e., optimistic) line of UTI in the sense of Hofkirchner’s. While doing this, we treat energy and information as two different categorial aspects of one and the same underlying primordial structure. We thus demonstrate the presently developing convergence of physics, biology, and computer science (as well as the various theories of information) in some detail and draft out a line of argument eventually leading up to the further unification of UTI and biosemiotics

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“…An example that is expressed in a way similar to Eq. (44) has been described and analyzed by Berman et al 33 We follow their example described for entangled atomic states but adapt the formalism to the present photon states. Assuming in this example [Ref.…”

Section: ͑33͒mentioning

confidence: 99%

Quantum fast Fourier transform and quantum computation by linear optics

Barak

Ben‐Aryeh

2007

J. Opt. Soc. Am. B

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Using the quantum fast Fourier transform in linear optics the input mode annihilation operators ͕â 0 , â 1 ,. .. ,â s−1 ͖ are transformed into output mode annihilation operators ͕b 0 , b 1 ,. .. ,b s−1 ͖. We show how to implement experimentally such transformations based on the Cooley-Tukey algorithm, by the use of beam splitters and phase shifters in a linear optical system. Optical systems implementing 1,2, and 3 qubits discrete Fourier transform (DFT) are described, and a general method for implementing the n-qubit DFT is analyzed. These transformations are used on various input radiation states by which phase estimation and order finding can be computed.

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Introduction to Quantum Computers

Cited by 122 publications

References 0 publications

Transcription of genetic information in the framework of quantum information theory

Transcription of genetic information in the framework of quantum information theory

Emergence and Evolution of Meaning: The General Definition of Information (GDI) Revisiting Program—Part I: The Progressive Perspective: Top-Down

Quantum fast Fourier transform and quantum computation by linear optics

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