PPT - Fernando Brandao
... of commuting models at high temperature. Caveat: At high temperature cluster expansion works well for computing local expectation values. (Open: How the two threshold T’s compare?) Q advantage: we get the full Gibbs state (e.g. could perform swap test of purifications of two Gibbs states. Good for a ...
... of commuting models at high temperature. Caveat: At high temperature cluster expansion works well for computing local expectation values. (Open: How the two threshold T’s compare?) Q advantage: we get the full Gibbs state (e.g. could perform swap test of purifications of two Gibbs states. Good for a ...
Quantum States and Propositions
... • Predictive about measurement results • Retrodictive about state preparations ...
... • Predictive about measurement results • Retrodictive about state preparations ...
W3: Reversible Quantum Computing
... http://www.technologyreview.com/view/422511/thefantastical-promise-of-reversible-computing/ Maslov, Dmitri, Gerhard W. Dueck, and D. Michael Miller. "Toffoli network synthesis with templates." Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on 24.6 (2005): 807-817. Susam, ...
... http://www.technologyreview.com/view/422511/thefantastical-promise-of-reversible-computing/ Maslov, Dmitri, Gerhard W. Dueck, and D. Michael Miller. "Toffoli network synthesis with templates." Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on 24.6 (2005): 807-817. Susam, ...
Document
... Thus, putting of a system into the thermostat is equivalent to an effective doubling of freedom degrees number. It results in cutting of a peculiar degeneration of state. Therefore we transfer from initial vacuum for particles |0> to a new vacuum for quasi-particles |0>>, which is dependent from tem ...
... Thus, putting of a system into the thermostat is equivalent to an effective doubling of freedom degrees number. It results in cutting of a peculiar degeneration of state. Therefore we transfer from initial vacuum for particles |0> to a new vacuum for quasi-particles |0>>, which is dependent from tem ...
Quantum Zeno Effect, Anti Zeno Effect and the Quantum recurrence theorem
... *Side note 2 - taking N to be finitie is justified by the fact that |cm |2 = 1, thus we can find N for which this sum (truncated at N) is very close to 1 (taking appropriate ). Next, we take a look at the quantum Zeno effect. Zeno’s original paradox: In his original ’arrow paradox’, zeno claimed th ...
... *Side note 2 - taking N to be finitie is justified by the fact that |cm |2 = 1, thus we can find N for which this sum (truncated at N) is very close to 1 (taking appropriate ). Next, we take a look at the quantum Zeno effect. Zeno’s original paradox: In his original ’arrow paradox’, zeno claimed th ...
On Quantum Versions of Record
... • Otherwise, pick any clause Cj in F such that Cj is falsified by a; choose a literal ls in Cj uniformly at random; modify a by flipping the value of the variable xi from the literal ls . As shown in [21], if the formula F is satisfiable, then each random walk of length 3n finds a satisfying assignm ...
... • Otherwise, pick any clause Cj in F such that Cj is falsified by a; choose a literal ls in Cj uniformly at random; modify a by flipping the value of the variable xi from the literal ls . As shown in [21], if the formula F is satisfiable, then each random walk of length 3n finds a satisfying assignm ...
The Computational Difficulty of Spin Chains in One Dimension
... locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct hi ...
... locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct hi ...
Recovery of classical chaotic-like behaviour in a quantum three
... be chaotic and are known to have positive Lyapunov exponents 关23兴. When we consider classical mechanics qi and pi are taken to represent the classical values of position and momentum. However, when we consider the quantum mechanics they are replaced by their operator counterparts. As we shall always ...
... be chaotic and are known to have positive Lyapunov exponents 关23兴. When we consider classical mechanics qi and pi are taken to represent the classical values of position and momentum. However, when we consider the quantum mechanics they are replaced by their operator counterparts. As we shall always ...
Complexity of one-dimensional spin chains
... locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct hi ...
... locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct hi ...
Syllabus - Department of Electrical Engineering
... LAB NOTEBOOK: Each student is REQUIRED to have a Lab Notebook (#77475 or equivalent quadruled 80 pages). These are available at the local bookstores. LAB LOCATION: 312B Bonner Hall. EACH LAB EXPERIMENT TAKES APPROXIMATELY 3 HOURS. The lab schedule will be arranged to accommodate each student if pref ...
... LAB NOTEBOOK: Each student is REQUIRED to have a Lab Notebook (#77475 or equivalent quadruled 80 pages). These are available at the local bookstores. LAB LOCATION: 312B Bonner Hall. EACH LAB EXPERIMENT TAKES APPROXIMATELY 3 HOURS. The lab schedule will be arranged to accommodate each student if pref ...
PHENOMENOLOGICAL QUANTUM GRAVITY
... and/or time become discrete on the Planck scale, in much the same way as matter becomes discrete when examined at the scales where atoms can be perceived. It is interesting to recall that the atomic hypothesis was confirmed, long before atoms were seen directly, by the observations of effects of the ...
... and/or time become discrete on the Planck scale, in much the same way as matter becomes discrete when examined at the scales where atoms can be perceived. It is interesting to recall that the atomic hypothesis was confirmed, long before atoms were seen directly, by the observations of effects of the ...
Topological Coherence and Decoherence
... of analysis has been applied to QUANTUM COMPUTATION. It is easy to show that many quantum computations can be modeled as QUANTUM WALKs on some graph. The problem then becomes one of QUANTUM DIFFUSION on this graph, and one easily finds either power-law or exponential speed-up, depending on the graph ...
... of analysis has been applied to QUANTUM COMPUTATION. It is easy to show that many quantum computations can be modeled as QUANTUM WALKs on some graph. The problem then becomes one of QUANTUM DIFFUSION on this graph, and one easily finds either power-law or exponential speed-up, depending on the graph ...
Fundamentals of quantum mechanics Quantum Theory of Light and Matter
... σA2 = hψ|(Â − hAi)(Â − hA)|ψi = ha|ai σB2 ...
... σA2 = hψ|(Â − hAi)(Â − hA)|ψi = ha|ai σB2 ...
Zhang - Department of Computer Science and Engineering, CUHK
... • Though defined in an information theoretical setting, it turned out to provide lower bounds to many computational models. – Data structures, circuit complexity, streaming algorithms, decision tree complexity, VLSI, algorithmic game theory, optimization, pseudo-randomness… ...
... • Though defined in an information theoretical setting, it turned out to provide lower bounds to many computational models. – Data structures, circuit complexity, streaming algorithms, decision tree complexity, VLSI, algorithmic game theory, optimization, pseudo-randomness… ...
Time-dependent perturbation theory
... −ωnm . To develop some intuition for the action of a time-dependent potential, it is useful to consider first a periodically-driven two-level system where the dynamical equations can be solved exactly. $ Info. The two-level system plays a special place in the modern development of quantum theory. In ...
... −ωnm . To develop some intuition for the action of a time-dependent potential, it is useful to consider first a periodically-driven two-level system where the dynamical equations can be solved exactly. $ Info. The two-level system plays a special place in the modern development of quantum theory. In ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.