Distributed quantum computing in decoherence-free subspace via adiabatic passage

Chen, Jumei; Liang, Lin-Mei; Li, Cheng-Zu; Chen, Ping-Xing; Hirata, Dai

doi:10.1016/j.optcom.2009.04.040

Cited by 2 publications

(3 citation statements)

References 48 publications

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“…A general expression for the total biological noise, N (t), in all M individual genes, g, in the population at age t is given by 14) where N o is the average number of mutations per gene g in the population of M at t = 0. The sum Σ m i=1 is over all m G-C + A-T pairs in the gene -excluding the (CAG) n repeat -and Σ k j=1 is over the k CAG repeats in the (CAG) n tract of length £, which exhibits expansion.…”

Section: Consequences Of Coherent States Populating (Cag) N Repeats Imentioning

confidence: 99%

“…Note that keto-amino → enol imine arrangement at A-T, i.e., A-T → *A-*T, causes deletion (Cooper, 2009a) and outside of the (CAG) n sequence, time-dependent substitutions, ts, generally do not contribute to expansion and are thus treated as conventional 'point' substitutions, which would be included in the Σ i λ i t terms of Eq. (14).…”

Section: Consequences Of Coherent States Populating (Cag) N Repeats Imentioning

confidence: 99%

“…Grace et al, 2007;Chen et al, 2009;Mei et al, 2009) and an improved understanding of entanglement(Rezakhani et al, 2009) and quantum error corrections(Oreshkov et al, 2008).…”

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confidence: 99%

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The molecular clock in terms of quantum information processing of coherent states, entanglement and replication of evolutionarily selected decohered isomers

Cooper

2011

Interdiscip Sci Comput Life Sci

123

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Evolutionary pressures have selected quantum uncertainty limits -ΔxΔp ( x ) ≥ 1/2ħ-to operate on metastable amino DNA protons. This introduces a probability of molecular clock arrangement, keto-amino → enol-imine, where product protons are entangled and participate in coupled quantum oscillation at frequencies of ∼ 10(13) s(-1). The ket "seen by" the transcriptase, reading a coherent enol-imine G'-state, is |φ >= α| + + > +β|+- > +γ|-+ > +δ|-->. The transcriptase implements its measurement and generates an output qubit of observable genetic specificity information in an interval Δt ≪ 10(-13) s. These quantum measurements can specify the relative distribution of coherent G'-C' states at time of measurement. The ensuing quantum entanglement between coherent protons and transcriptase units is utilized as a resource to generate proper decoherence and introduce selected time-dependent substitutions, ts, and deletions, td. Topal-Fresco ts are G'202 → T, G'002 → C, *G020(0) → A and *C202(2) → T, whereas td are exhibited at coherent *A-*T sites. Variation in clock 'tic-rate' is a consequence of clock introduction of initiation codons - UUG, CUG, AUG, GUG - and stop codons, UAA, UAG, UGA. Using approximate quantum methods for times t < ∼ 100 y, the probability, P(t), of keto-amino → enolimine arrangement is P ( ρ )(t) = 1/2(γ ( ρ )/ħ)(2) t (2) where γ ( ρ ) is the energy shift. This introduces a quantum Darwinian evolution model which provides insight into biological consequences of coherent states populating human genes, including inherited (CAG)( n ) repeat tracts.

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Section: Consequences Of Coherent States Populating (Cag) N Repeats Imentioning

confidence: 99%

Section: Consequences Of Coherent States Populating (Cag) N Repeats Imentioning

confidence: 99%

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The molecular clock in terms of quantum information processing of coherent states, entanglement and replication of evolutionarily selected decohered isomers

Cooper

2011

Interdiscip Sci Comput Life Sci

123

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Coherent states as consequences of keto‐amino→ enol‐imine hydrogen bond arrangements driven by quantum uncertainty limits on amino DNA protons

Cooper¹

2012

Int J of Quantum Chemistry

214

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Experimental and theoretical evidence supporting the L€ owdin model of DNA specificity is presented. Molecular genetic measurements by the transcriptase demonstrate that timedependent point lesions, G-C ! G 0 -C 0 and G-C ! *G-*C, are consequences of keto-amino ! enol-imine arrangement. Product enol-imine protons are shared between two sets of indistinguishable electron lone-pairs, and thus, participate in coupled quantum oscillation at frequencies of $10 13 s À1 . Transcriptase genetic specificity is determined by components contributing to the formation of complementary hydrogen bonds, which in these cases are variable because of coupled quantum oscillations. In an interval Dt \ 10 À13 s, genetic specificities are measured and executed before an entanglement is created between coherent protons and the transcriptase. The ensuing entanglement causes a decoherent transition from quantum to classical, yielding a statistical ensemble of decohered enol and imine isomers that participate in Topal-Fresco substitution replication. Coherent states within *A-*T sites are deleted. Using approximate quantum methods for times t \ $ 100 years, the probability, P(t), of keto-amino ! enol-imine arrangement is P q ðtÞ ¼ 1 =2ðc q = hÞ 2 t 2 where c q is the energy shift between states. This model illustrates biological consequences of coherent states populating inherited (CAG) n repeats in human genomes.

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Distributed quantum computing in decoherence-free subspace via adiabatic passage

Cited by 2 publications

References 48 publications

The molecular clock in terms of quantum information processing of coherent states, entanglement and replication of evolutionarily selected decohered isomers

The molecular clock in terms of quantum information processing of coherent states, entanglement and replication of evolutionarily selected decohered isomers

Coherent states as consequences of keto‐amino→ enol‐imine hydrogen bond arrangements driven by quantum uncertainty limits on amino DNA protons

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