Hasil untuk "quant-ph"

R. Davis, R. Delbourgo

Ella Odjohou, M. Amani, G. Soro et al.

L’analyse spatio-temporelle des paramètres physico-chimiques des eaux du lac Labion dans le système lagunaire ivoirien, a été abordé dans un contexte de variabilité climatique. L’objectif est de caractériser la physico-chimie des eaux au cours des saisons climatiques. Pour y parvenir, une analyse hydrologique a été réalisé à partir de mesure in situ des paramètres pH, Température, Conductivité électrique, Oxygène dissous, Matières en suspension, Transparence et Turbidité. Ces paramètres ont été mesurés à l’aide d’un multi-paramètre. Celui-ci est mis à l’eau et les résultats s’affichent à l’écran. Seule la transparence a été mesuré à l’aide du disque de Secchi. La température (31 °C) indique des eaux relativement chaudes. Quant au pH, il varie du neutre (6,79) à alcalin (8,99). La conductivité moyenne sur le lac est de 40 μS/cm. Les eaux sont bien oxygénées (7 à 8 mg/L) et présente peu de matières en suspension. L’analyse en composante principale montre une forte corrélation (r > 0,7) entre les variables température, oxygène, pH et conductivité. Ces résultats mettent en évidence deux (02) mécanismes qui sont à l’origine des forçages naturel et artificiel. Il s’agit du mécanisme de la photosynthèse occasionnant une bonne oxygénation des eaux et du mécanisme de pollution traduisant une forte turbidité.Mots clés : Lac, saison climatique, paramètre, mécanisme, évolution.   English Title: Physico-chemical characterization of the waters of a lake system of the ivorian coastal cordon: case of Lake LabionThe spatio-temporal analysis of the physicochemical parameters of the waters of Lake Labion in the Ivorian lagoon system was tackled in the context of climate variability. The objective is to characterize the physico-chemistry of the waters during the climatic seasons. To achieve this, a hydrological analysis was carried out using in situ measurement of the parameters pH, Temperature, Electrical conductivity, Dissolved oxygen, Suspended matter, Transparency and Turbidity. These parameters were measured using a multi-parameter. It is launched and the results are displayed on the screen. Only transparency was measured using the Secchi disk. The temperature (31 °C) indicates relatively warm waters. As for the pH, it varies from neutral (6.79) to alkaline (8.99). The average conductivity on the lake is 40 μS / cm. The waters are well oxygenated (7 to 8 mg / L) and have little suspended matter. The principal component analysis shows a strong correlation (r> 0.7) between the variables temperature, oxygen, pH and conductivity. These results highlight two (02) mechanisms which are at the origin of natural and artificial forcings. This is the mechanism of photosynthesis causing good oxygenation of water and the pollution mechanism reflecting high turbidity.Keywords: Lake, climatic season, parameter, mechanism, evolution.

Kathryn Ashe, C. Fernández-García, Merina K. Corpinot et al.

The central and conserved role of peptides in extant biology suggests that they played an important role during the origins of life. Strecker amino acid synthesis appears to be prebiotic, but the high pKaH of ammonia (pKaH = 9.2) necessitates high pH reaction conditions to realise efficient synthesis, which places difficult environmental constraints on prebiotic amino acid synthesis. Here we demonstrate that diamidophosphate reacts efficiently with simple aldehydes and hydrogen cyanide in water at neutral pH to afford N-phosphoro-aminonitriles. N-Phosphoro-aminonitrile synthesis is highly selective for aldehydes; ketones give poor conversion. N-Phosphoro-aminonitriles react with hydrogen sulfide at neutral pH to furnish aminothioamides. The high yield (73%–Quant.) of N-phosphoro-aminonitriles at neutral pH, and their selective transformations, may provide new insights into prebiotic amino acid synthesis and activation.The Strecker reaction is thought to offer a prebiotically plausible synthesis of amino acids, but is reversible at the high or low pH ranges needed to promote reactivity. Here the reaction of hydrogen cyanide and diamidophosphate is shown to provide stable phosphorylated amino acid precursors at neutral pH, which can be hydrolysed to amino acids or thiolysed to thioamides.

Lin Chen, D. Chu, Lilong Qian et al.

Symmetry plays an important role in the field of quantum mechanics. We consider a subclass of symmetric quantum states in the multipartite system ${N}^{\ensuremath{\bigotimes}d}$, namely, the completely symmetric states, which are invariant under any index permutation. It was hypothesized by L. Qian and D. Chu (arXiv:1810.03125 [quant-ph]) that the completely symmetric states are separable if and only if it is a convex combination of symmetric pure product states. We prove that this conjecture is true for the both bipartite and multipartite cases. Further, we prove that the completely symmetric state $\ensuremath{\rho}$ is separable if its rank is at most 5 or $N+1$. For the states of rank 6 or $N+2$, they are separable if and only if their range contains a product vector. We apply our results to a few widely useful states in quantum information, such as symmetric states, edge states, extreme states, and non-negative states. We also study the relation of completely symmetric states to Hankel and Toeplitz matrices.

B. Skagerstam, K. Eriksson, P. Rekdal

In a previous work (Skagerstam 2018 arXiv:1801.09947v1 [quant-ph]) and in terms of an exact quantum-mechanical framework, -independent causal and retarded expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge were derived in the presence of a conserved classical electric current. The classical -independent Maxwell’s equations then naturally emerged. In the present work, we extend these considerations to linear gravitational quantum deviations around a flat Minkowski space-time in a Coulomb-like gauge. The emergence of the classical, causal, and properly retarded linearized classical theory of general relativity with a conserved classical energy–momentum tensor is then outlined. The quantum-mechanical framework also provides for a simple approach to classical quadrupole gravitational radiation of Einstein and microscopic spontaneous graviton emission and/or absorption processes.

Masazumi Fujiwara, Ryuta Tsukahara, Yoshihiko Sera et al.

We report on sensing stability of nanodiamond (ND) quantum sensors in various pH aqueous buffer solutions for the two detection schemes of quantum decoherence spectroscopy and thermometry. The electron spin properties of single nitrogen-vacancy (NV) centers in 25-nm-sized NDs have been characterized by a spin-measurement compatible perfusion (SMCP) chamber where observing the same individual NDs in different buffer solutions is possible. With this system, we have determined the stability of the NV quantum sensors during the pH change from 4 to 11 as the fluctuations of +- 12% and +- 0.2 MHz for the spin coherence time ($T_2$) and the resonance frequency ($ω_0$) of their mean values, which are comparable to the instrumental error of the measurement system. Here, we discuss the importance of characterizing the sensing stability during pH changes and how the present observations affect ND-based NV quantum sensing.

Nenad Balaneskovic, M. Mendler

Abstract We investigate the influence of dissipation and decoherence on quantum Darwinism by generalizing Zurek’s original qubit model of decoherence and the establishment of pointer states [W.H. Zurek, Nat. Phys. 5, 181 (2009); see also arXiv: quant-ph/0707.2832v1, pp. 14-19.]. Our model allows for repeated multiple qubit-qubit couplings between system and environment which are described by randomly applied two-qubit quantum operations inducing entanglement, dissipation and dephasing. The resulting stationary qubit states of system and environment are investigated. They exhibit the intricate influence of entanglement generation, dissipation and dephasing on this characteristic quantum phenomenon. Graphical abstract

Shuqian Shen, Ming Li, X. Duan

Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria for $d$-dimensional bipartite quantum systems, which are more powerful than the corresponding ones introduced previously [C. Spengler, M. Huber, S. Brierley, T. Adaktylos, and B. C. Hiesmayr, Phys. Rev. A 86, 022311 (2012); B. Chen, T. Ma, and S. M. Fei, Phys. Rev. A 89, 064302 (2014); and B. Chen, T. Li, and S. M. Fei, arXiv:1406.7820v1 [quant-ph] (2014)]. Some states such as Werner states and Bell-diagonal states are used to further illustrate the efficiency of the presented criteria.

Matthew F Pusey, M. Leifer

If a quantum system is prepared and later post-selected in certain states, "paradoxical" predictions for intermediate measurements can be obtained. This is the case both when the intermediate measurement is strong, i.e. a projective measurement with Luders-von Neumann update rule, or with weak measurements where they show up in anomalous weak values. Leifer and Spekkens [quant-ph/0412178] identified a striking class of such paradoxes, known as logical pre- and post-selection paradoxes, and showed that they are indirectly connected with contextuality. By analysing the measurement-disturbance required in models of these phenomena, we find that the strong measurement version of logical pre- and post-selection paradoxes actually constitute a direct manifestation of quantum contextuality. The proof hinges on under-appreciated features of the paradoxes. In particular, we show by example that it is not possible to prove contextuality without Luders-von Neumann updates for the intermediate measurements, nonorthogonal pre- and post-selection, and 0/1 probabilities for the intermediate measurements. Since one of us has recently shown that anomalous weak values are also a direct manifestation of contextuality [arXiv:1409.1535], we now know that this is true for both realizations of logical pre- and post-selection paradoxes.

V. Choi

The problem Hamiltonian of the adiabatic quantum algorithm for the maximum-weight independent set problem (MIS) that is based on the reduction to the Ising problem (as described in [Choi08]) has flexible parameters. We show that by choosing the parameters appropriately in the problem Hamiltonian (without changing the problem to be solved) for MIS on CK graphs, we can prevent the first order quantum phase transition and significantly change the minimum spectral gap. We raise the basic question about what the appropriate formulation of adiabatic running time should be. We also describe adiabatic quantum algorithms for Exact Cover and 3SAT in which the problem Hamiltonians are based on the reduction to MIS. We point out that the argument in Altshuler et al.(arXiv:0908.2782 [quant-ph]) that their adiabatic quantum algorithm failed with high probability for randomly generated instances of Exact Cover does not carry over to this new algorithm.

M. S. Sarandy, L. -A. Wu, Daniel A. Lidar

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, eprint quant-ph/0404147). We also critically examine a recent argument claiming that there is an inconsistency in the adiabatic theorem for closed quantum systems (K.P. Marzlin and B.C. Sanders, Phys. Rev. Lett. 93, 160408 (2004).) and point out how an incorrect manipulation of the adiabatic theorem may lead one to obtain such an inconsistent result.PACS: 03.65.Ta, 03.65.Yz, 03.67.-a, 03.65.Vf.

E. Knill, R. Laflamme, W. Zurek

We have previously (quant-ph/9608012) shown that for quantum memories and quantum communication, a state can be transmitted over arbitrary distances with error $\epsilon$ provided each gate has error at most $c\epsilon$. We discuss a similar concatenation technique which can be used with fault tolerant networks to achieve any desired accuracy when computing with classical initial states, provided a minimum gate accuracy can be achieved. The technique works under realistic assumptions on operational errors. These assumptions are more general than the stochastic error heuristic used in other work. Methods are proposed to account for leakage errors, a problem not previously recognized.

R. Paskauskas, Li You

We present the Schmidt decomposition for arbitrary wave functions of two indistinguishable bosons, extending the recent studies of entanglement or quantum correlations for two fermion systems [J. Schliemann et al., Phys. Rev. B 63, 085311 (2001) and quant-ph/0012094]. We point out that the von Neumann entropy of the reduced single-particle density matrix remains to be a good entanglement measure for two identical particles.

M. Nielsen, C. Dawson

The one-way quantum computing model introduced by Raussendorf and Briegel [Phys. Rev. Lett. 86, 5188 (2001)] shows that it is possible to quantum compute using only a fixed entangled resource known as a cluster state, and adaptive single-qubit measurements. This model is the basis for several practical proposals for quantum computation, including a promising proposal for optical quantum computation based on cluster states [M. A. Nielsen, Phys. Rev. Lett. (to be published), quant-ph/0402005]. A significant open question is whether such proposals are scalable in the presence of physically realistic noise. In this paper we prove two threshold theorems which show that scalable fault-tolerant quantum computation may be achieved in implementations based on cluster states, provided the noise in the implementations is below some constant threshold value. Our first threshold theorem applies to a class of implementations in which entangling gates are applied deterministically, but with a small amount of noise. We expect this threshold to be applicable in a wide variety of physical systems. Our second threshold theorem is specifically adapted to proposals such as the optical cluster-state proposal, in which nondeterministic entangling gates are used. A critical technical component of our proofs is two powerful theorems which relate the properties of noisy unitary operations restricted to act on a subspace of state space to extensions of those operations acting on the entire state space. We expect these theorems to have a variety of applications in other areas of quantum-information science.

T. Shi, Ying Li, Zhi Song et al.

We show that a perfect quantum-state transmission can be realized through a spin chain possessing the commensurate structure of an energy spectrum, which is matched with the corresponding parity. As an exposition of the mirror inversion symmetry discovered by Albanese (e-print quant-ph/0405029), the parity matched commensurability of the energy spectra helps us to present preengineered spin systems for quantum information transmission. Based on these theoretical analyses, we propose a protocol of near-perfect quantum-state transfer by using a ferromagnetic Heisenberg chain with uniform coupling constant, but an external parabolic magnetic field. The numerical results show that the initial Gaussian wave packet in this system with optimal field distribution can be reshaped near perfectly over a longer distance.

C. Fuchs

This paper reports three almost trivial theorems that nevertheless appear to have significant import for quantum foundations studies. 1) A Gleason-like derivation of the quantum probability law, but based on the positive operator-valued measures as the basic notion of measurement (see also Busch, quant-ph/9909073). Of note, this theorem also works for 2-dimensional vector spaces and for vector spaces over the rational numbers, where the standard Gleason theorem fails. 2) A way of rewriting the quantum collapse rule so that it looks almost precisely identical to Bayes rule for updating probabilities in classical probability theory. And 3) a derivation of the tensor-product rule for combining quantum systems (and with it the very notion of quantum entanglement) from Gleason-like considerations for local measurements on bipartite systems along with classical communication.

A. Hayashi, T. Hashimoto, M. Horibe

In quantum teleportation, neither Alice nor Bob acquires any classical knowledge on teleported states. The teleportation protocol is said to be oblivious to both parties. In remote state preparation (RSP), it is assumed that Alice is given complete classical knowledge on the state that is to be prepared by Bob. Recently, Leung and Shor [e-print quant-ph/0201008] showed that the same amount of classical information as that in teleportation needs to be transmitted in any exact and deterministic RSP protocol that is oblivious to Bob. Assuming that the dimension of subsystems in the prior-entangled state is the same as the dimension of the input space, we study similar RSP protocols, but not necessarily oblivious to Bob. We show that in this case Bob's quantum operation can be safely assumed to be a unitary transformation. We then derive an equation that is a necessary and sufficient condition for such a protocol to exist. By studying this equation, we show that one-qubit RSP requires two classical bits of communication, which is the same amount as in teleportation, even if the protocol is not assumed oblivious to Bob. For higher dimensions, it is still an open question whether the amount of classical communication can be reduced by abandoning oblivious conditions.

D. Leung

We first consider various methods for the indirect implementation of unitary gates. We apply these methods to rederive the universality of 4-qubit measurements based on a scheme much simpler than Nielsen's original construction [quant-ph/0108020]. Then, we prove the universality of simple discrete sets of 2-qubit measurements, again using a scheme simplifying the initial construction [quant-ph/0111122]. Finally, we show how to use a single 4-qubit measurement to achieve universal quantum computation, and outline a proof for the universality of almost all maximally entangling 4-qubit measurements.

J. Uffink

This Letter presents quantum mechanical inequalities which distinguish, for systems of n spin- 1 / 2 particles ( n>2), between fully entangled states and states in which at most n-1 particles are entangled. These inequalities are stronger than those obtained by Gisin and Bechmann-Pasquinucci [Phys. Lett. A 246, 1 (1998)] and by Seevinck and Svetlichny [quant-ph/0201046].

B. Coecke

These lecture notes survey some joint work with Samson Abramsky as it was presented by me at several conferences in the summer of 2005. It concerns `doing quantum mechanics using only pictures of lines, squares, triangles and diamonds'. This picture calculus can be seen as a very substantial extension of Dirac's notation, and has a purely algebraic counterpart in terms of so-called Strongly Compact Closed Categories (introduced by Abramsky and I in quant-ph/0402130 and [4]) which subsumes my Logic of Entanglement quant-ph/0402014. For a survey on the `what', the `why' and the `hows' I refer to a previous set of lecture notes quant-ph/0506132. In a last section we provide some pointers to the body of technical literature on the subject.