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Pure qubit state In quantum information processing, a pure qubit state is a linear superposition[?] of two basis states, conventionally written 0⟩ and 1⟩ (ket 0 and ket 1). A pure qubit state is often written as the sum a 0⟩ + b 1⟩, or as a column vector (a, b) where a and b are the complex amplitudes associated with 0⟩ and 1⟩, respectively. If the state 0⟩ is measured, a is changed to a magnitude of 1 and b is changed to a magnitude of 0 (see magnitude of complex numbers). www.ebroadcast.com.au /lookup/encyclopedia/pu/Pure_qubit_state.html   (259 words)

PlanetMath: state A state is pure if it is not a convex combination of two other states. Pure states are the extreme points of the convex set of states. This is version 5 of state, born on 2003-08-11, modified 2006-11-21. planetmath.org /encyclopedia/State.html   (190 words)

Pure and mixed A mixed state is one that cannot: it must be represented by a statistical mixture of pure states. A mixed state is a statistical mixture of pure states. A "pure state" would be a "point in phase space", while a "mixture" would be a statistical distribution over phase space (given by a probability density over phase space). www.physicsforums.com /showthread.php?t=114869   (3840 words)

Separable states - Wikipedia, the free encyclopedia is a pure state of the i-th subsystem, it is said to be separable. It is clear from the definition that the family of separable states is a convex set. When the state spaces are infinite dimensional, density matrices are replaced by positive trace class operators with trace 1, and a state is separable if it can be approximated, in trace norm, by states of the above form. en.wikipedia.org /wiki/Separable_states   (646 words)

States - Quantiki   (Site not responding. Last check: 2007-10-21) A partially known quantum state, such as an ensemble with some quantum numbers fixed, can be described by a density operator. The simplest understanding of basis states is obtained by examining the quantum harmonic oscillator. A pure quantum state is a state which can be described by a single ket vector, or as a sum of basis states. www.quantiki.org /wiki/index.php/States   (450 words)

Pure Technologies Ltd. - Press Releases - Pure Technologies Ltd. Announces Significant Revenue Growth, Earnings Pure Technologies Ltd. ("PUR" - CDNX) announces an increase in revenues to $1,075,000 for the first quarter of 2000 from $417,000 in 1999, an increase of 158%. Pure continues to provide data processing and reporting services to its expanding customer base, resulting in recurring monitoring revenue for the first quarter of $113,000 compared to $62,000 in 1999. Pure Technologies Ltd. is an international technology company which has become a world leader in providing information and communications technology for infrastructure management. puretechnologiesltd.com /press_releases/release_160500.asp   (367 words)

Pure states - Quantiki   (Site not responding. Last check: 2007-10-21) A state is called pure if it cannot be represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states. In the Bloch sphere, i.e., the state space of a qubit, the pure states exactly form the surface of the sphere. The state space of a a system with d-dimensional Hilbert space is d^2-1 dimensional, so from this we would expect d^2 pure states to be necessary to represent a general mixed state. www.quantiki.org /wiki/index.php?title=Pure_states&printable=yes   (236 words)

The Collected Works of Shinran Major Expositions KGSS IV : 7-13 The Pure Land of happiness is sustained by the power of the good of Amida, the perfectly enlightened. People, once born in the Pure Land of happiness, later conceive in their hearts the wish to be born in the three realms to teach and guide sentient beings; they then abandon their life in the Pure Land and receive birth in accord with their aspiration. In this world of miscellaneous modes of birth, whether beings are born from womb, egg, or moisture or by sudden metamorphosis, their fellow beings are numerous, and these fellow beings experience pain and pleasure in a myriad variations because of their diverse karmas. www.shinranworks.com /majorexpositions/kgssIV-7_13.htm   (1023 words)

Pure Technologies Ltd. - Pure Files Patent Infringement Lawsuit Against Physical Acoustics Corporation Pure Technologies Ltd. (“PUR” — CDNX) announces that it has filed a patent infringement lawsuit in the Federal District Court for the District of Delaware, in the United States, against Physical Acoustics Corporation (“PAC”). Pure alleges that the PAC system infringes one or more claims in two of Pure’s United States patents, relating to Pure’s proprietary SoundPrint® technology, issued in 1998 and 2001. Pure designs and supplies the systems and provides continuing remote monitoring and technical support from its headquarters in Calgary and through its U.S. subsidiary and strategic partners internationally. puretechnologiesltd.com /press_releases/release_030502.asp   (309 words)

Replacement of Sums over All States with Sums over Eigenstates For any system, many allowed states are not included in the complete set of states, namely the mixed states, which are are linear combinations of the complete set of basis states. Any other state of the system may be written as a linear combination of the energy eigenstates or as a linear combination of the helicity states. Since any single state of the system may be chosen as one of the two basis vectors, there is absolutely no fundamental physical distinction, without reference to the current choice of basis, in which any particular set may be said to be `pure'or `mixed'. users.wpi.edu /~phillies/stat11/node2.html   (831 words)

CiteULike: Use of pairs of pseudopure states for NMR quantum computing   (Site not responding. Last check: 2007-10-21) The premise of nuclear magnetic resonance (NMR) quantum computing is that pseudopure quantum states; for which the populations of all energy levels but one are equal; can be used instead of pure quantum states. To overcome this problem; a method using pairs of pseudopure states (POPS) instead of individual pseudopure states as the basis for NMR quantum computing is introduced here. A detailed analysis of a 16-level spin system is given; and the results of applying a c 2 -NOT quantum logic gate (a controlled-NOT gate conditional upon the state of two other qubits) to all the POPS in the system are presented. www.citeulike.org /user/jaeseung/article/698687   (335 words)

Pure States A pure state is defined as a state that can be described by a ket vector Note that such an expectation value is not only determined by the average of expectation values associated with states k (i.e., the first term in the r.h.s of Eq. Note that such collection of N replica systems is also described by a pure state. xbeams.chem.yale.edu /~batista/vaa/node3.html   (222 words)

The Density Matrix B, in contrast, is called a mixed state: the kind that actually occurs to a greater or lesser extent in a real life stream of atoms, different pure quantum states occurring with different probabilities, but with no phase coherence between them. Another two-state quantum system that can be analyzed in the same way is the polarization state of a beam of light, the basis states being polarization in the x-direction and polarization in the y-direction, for a beam traveling parallel to the z-axis. are all zero except for the ground state: the system is in a pure state, and the density matrix has every element zero except for a single element on the diagonal. galileo.phys.virginia.edu /classes/751.mf1i.fall02/DensityMatrix.htm   (1213 words)

Mixtures and Density Operators The result is that the qubits are in a probabilistic ``mixture'' of two pure states. Such mixtures are a generalization of pure states. The relationship between a qubit's state space and a sphere can be explained in terms of the qubit's density operators. www.eskimo.com /~knill/qip/prhtml/node9.html   (529 words)

Topics in Quantum Dynamics The Schrödinger equation describes time evolution of pure states of a quantum system, for instance evolution of pure states of a quantum particle, or of a many body system. Since the classical system has a discrete set of pure states, there is no non-trivial and continuous time evolution for the classical system that would map pure states into pure states. The difficulty here is in the fact that we have to discriminate between non-orthogonal projections (because different states are not necessarily orthogonal), and this implies necessity of simultaneous measuring of non-commuting observables. quantumfuture.net /quantum_future/papers/9406204/topics.htm   (5212 words)

The Quantum Pontiff » Bound Secrecy These states are called bound entangled states because they require some pure entanglement in order to create them (thus the entanglement is bound into the mixed state.) Bound entangled states are strange beasts, being entangled, and yet not being able to be converted back to any sort of pure state entanglement currency. One interesting use of a standard currency for bipartite pure state entanglement is in key generation. Since an essential part of these protocols has been to distill pure entangled states, it seems, when you first think about it, that bound entangled states would not be useful for private key generation. dabacon.org /pontiff/?p=894   (399 words)

The adaptive classical capacity of a quantum channel, or Information capacities of three symmetric pure states in three ... A quantum channel of the type that Holevo [8] classifies as c-q (classical-quantum) can be constructed from these states by allowing the sender to choose one of these three pure states, which is then conveyed to the receiver. Because the trine states are vectors over the reals, it follows from the generalization of Davies' theorem to real states (see, e.g., [12]) that there is an optimal POVM with at most six elements, all of the components of which are real. (0), the capacity for the planar trine states. www.research.ibm.com /journal/rd/481/shor.html   (10132 words)

Classical Statistical Mechanics   (Site not responding. Last check: 2007-10-21) This corresponds to a classically pure state in which there is a unique momentum at each space point. Although the pure subensembles are not individually conserved by the Liouville equation (p.52) as they are in quantum mechanics, and the disitnction... between pure and mixed states is not [classically] canonically invariant (p.52), nevertheless, from a formal point of view the single-valued classical pure case provides a key to understanding the connection with quantum mechanics (p.52). www.qedcorp.com /pcr/pcr/statmech.html   (545 words)

Success stories from working with VMEC experts and training programs | VMEC Vermont Pure Holdings, Ltd. is a regional focused company and the eighth largest bottled water company in the United States. Vermont Pure Holdings, Ltd. is well positioned for future growth by capitalizing on opportunities in existing markets, expanding to new markets, and continuing the execution of its growth strategy. A leading edge customer service company, Vermont Pure recognized that operational systems that had been integrated into their business years earlier were no longer effective in managing the new day-to-day requirements. www.vmec.org /success/?story_id=9   (394 words)

Consistency of a counterexample to Naimark's problem -- Akemann and Weaver 101 (20): 7522 -- Proceedings of the ... states in an attempt to ensure that all pure states on Suppose f and g are inequivalent pure states on a C By ref. 20, the pure state space of any simple, separable C www.pnas.org /cgi/content/full/101/20/7522   (2035 words)

Density Operator (6) which defines an ensemble average for a pure state. Note that the Tr is, therefore, a measurement of decoherence (i.e., lost of interference between the various different states in the ensemble). When the system is in a coherent superposition state, such as the one described by Eq. xbeams.chem.yale.edu /~batista/vaa/node5.html   (205 words)

Coherence   (Site not responding. Last check: 2007-10-21) For example, the fundamental picture of a particle in quantum mechanics is that all of the alternative possibilities open to the system co-exist as a 'superposition' in a 'pure state' which is said to be coherent. (The process which converts a pure to a mixed state is known as 'decoherence'.) In this sense one can say of the two-particle singlet state considered by EPR and Bell that A second, intimately related form of coherence involves multiple particles that that share a quantum state which is governed by a macroscopic wavefunction - this typically has the name 'quantum coherence', and typically involves the spaciotemporal organization of the multiparticle system. www.nonlocal.com /hbar/coherence.html   (348 words)

Centre for Research on Globalization The truth is that the United States -- just as all other colonialists -- is for or against ethnically pure states according to whether or not it suits U.S. strategic interests. In the past, the United States had obliged the Kurds to remain inside the Turkish state which was being led by fascist generals, but today, the U.S. is preparing a Kurdish state, allegedly rooted in the principle of "self-determination" (in reality a puppet state). Most of the states existing on the planet today are "multinational." And sensible people consider themselves to be enriched by this mixing of cultures. www.globalresearch.ca /articles/COL312A.html   (1925 words)

Pure Digital Technologies – About Us Pure Digital Technologies – About Us Pure Digital Technologies is a pioneer in developing simple and affordable imaging products for mass market consumers. The Pure Digital Imaging Platform -- a network of proprietary, retail-based servers with sophisticated image and video processing capabilities -- enables a host of high-growth imaging solutions and is implemented in many of the leading retailers in the United States. Pure Digital Technologies is backed by Sequoia Capital, Benchmark Capital, Crescendo Ventures, Focus Ventures, VantagePoint Venture Partners, and Steamboat Ventures -- the venture capital arm of the Walt Disney Company. www.puredigitalinc.com /company.html   (351 words)

Pure Water on Alibaba.com - Find Pure Water manufacturers, suppliers, exporters, wholesalers, traders, distributors, ... Pure Water on Alibaba.com - Find Pure Water manufacturers, suppliers, exporters, wholesalers, traders, distributors, importers and more. Alibaba.com connects you directly to pre-qualified Pure Water manufacturers and exporters from China and around the world. Alibaba.com membership is 100 percent free for buyers, and with it, you get access to the world's largest B2B marketplace of manufacturers and exporters in the world for Pure Water. hotproducts.alibaba.com /manufacturers-exporters/Pure_Water/2.html   (316 words)

Welcome to PureAir - America's Leading Air Filter and Service Network From the beginning, Pure Air has met the individual needs of each client, whether they are industrial, commercial or institutional. If your facility is located anywhere in the United States, Pure Air can coordinate your filter service needs. Air filtration supplies the means to obtain the level of particulate cleanliness required by any definition of "air conditioning." It extends from the simple task of preventing lint and other debris from plugging heating/cooling coils to removing particles as small as 0.1 micron which could cause a short circuit on a microchip. www.pureairco.com   (260 words)

Control of pure quantum states Laser control for the optimal evolution of pure quantum states Starting from an initial pure quantum state, we present a strategy for reaching a target state corresponding to the extremum maximum or minimum of a given observable. We show that a sequence of pulses of moderate intensity, applied at times when the average of the observable reaches its local or global extremum, constitutes a strategy transferable to different control issues. www.tp.umu.se /~dion/publi/sugny05_pure.html   (166 words)

QiSci » Blog Archive » Geometric phases I: Pure states In the following talks I will discuss geometric phases for mixed states and possibly some more specialized topics (differential geometry approach to phases, relations to coherent states and semi-classical methods, quantum computing with geometric phases, …) depending on the interests and wishes of the audience. This entry was posted on Friday, October 7th, 2005 at 11:01 am and is filed under General, Seminars. You must be logged in to post a comment. www.qinfo.org /?p=156   (177 words)

PURE TRUCKING transport, flatbed, carrier, trusting and is authorized to operate in 48 states. Trust us to get your load safely where it has to go! Go Daddy Software is the #1 new domain name registrar! www.puretrucking.com   (30 words)

Equation of motion of pure states   (Site not responding. Last check: 2007-10-21) Next: Density of statesquantum Up: Quantum equations of information Previous: Quantum equations of information In the quantum case the dynamics of pure states are complex functions of time representing the probability amplitudes of the basis states www.realtime.net /~drwolf/papers/dissertation/node75.html   (36 words)

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