DECOHERENCE AND DYNAMICAL DECOUPLING IN SOLID-STATE SPIN QUBITS Wayne Martin Witzel
... I appreciate help that I have received from many people in order to accomplish this work. First of all, the Condensed Matter Theory Center (CMTC) has been an enriching environment for my graduate research. I have asked innumerable questions, from mundane to profound, of present and past CMTC post-do ...
... I appreciate help that I have received from many people in order to accomplish this work. First of all, the Condensed Matter Theory Center (CMTC) has been an enriching environment for my graduate research. I have asked innumerable questions, from mundane to profound, of present and past CMTC post-do ...
2-dimensional “particle-in-a-box” problems
... in description of the temporal evolution of the initial state ψ(x, 0). If, in particular, ψ(x, 0) = ψn (x) then it follows from (4) by the orthonormality ...
... in description of the temporal evolution of the initial state ψ(x, 0). If, in particular, ψ(x, 0) = ψn (x) then it follows from (4) by the orthonormality ...
Quantum Information with Fermionic Gaussian States - Max
... In this Thesis we study finite-dimensional fermionic Gaussian states and channels. In physics, Gaussian approximation is a frequently used tool for solving many-body problems. Gaussian approximation relies on describing system fully in terms of two-point correlation functions. This means that all th ...
... In this Thesis we study finite-dimensional fermionic Gaussian states and channels. In physics, Gaussian approximation is a frequently used tool for solving many-body problems. Gaussian approximation relies on describing system fully in terms of two-point correlation functions. This means that all th ...
Certainty relations, mutual entanglement, and nondisplaceable
... that it cannot be displaced into any other position in a way that the original manifold and the displaced one do not intersect. Consider, for instance, an equator of a standard twosphere. It is easy to imagine that this particular manifold is nondisplaceable in S 2 , because any two great circles of ...
... that it cannot be displaced into any other position in a way that the original manifold and the displaced one do not intersect. Consider, for instance, an equator of a standard twosphere. It is easy to imagine that this particular manifold is nondisplaceable in S 2 , because any two great circles of ...
Quantum fluctuations in modulated nonlinear oscillators Vittorio Peano and M I Dykman
... electrodynamics. Vibrational systems of the new generation are mesoscopic. On the one hand, they can be individually accessed, similar to macroscopic systems, and are well-characterized. On the other hand, since they are small, they experience comparatively strong fluctuations of thermal and quantum ...
... electrodynamics. Vibrational systems of the new generation are mesoscopic. On the one hand, they can be individually accessed, similar to macroscopic systems, and are well-characterized. On the other hand, since they are small, they experience comparatively strong fluctuations of thermal and quantum ...
Entanglement in single-particle systems
... measurement in this system?’ Tan et al. (1991) have pointed out that the answer is yes. Hardy (1994) made use of an analogous scheme to obtain contradictions with local realism without inequalities. However, their schemes use homodyne detection, and the measurements that violate Bell inequalities ar ...
... measurement in this system?’ Tan et al. (1991) have pointed out that the answer is yes. Hardy (1994) made use of an analogous scheme to obtain contradictions with local realism without inequalities. However, their schemes use homodyne detection, and the measurements that violate Bell inequalities ar ...
Helium atom - ChaosBook.org
... and cycle expansions are essential tools to understand and calculate classical and quantum mechanical properties of nothing less than the helium, a dreaded threebody Coulomb problem. This sounds almost like one step too much at a time; we all know how rich and complicated the dynamics of the three-b ...
... and cycle expansions are essential tools to understand and calculate classical and quantum mechanical properties of nothing less than the helium, a dreaded threebody Coulomb problem. This sounds almost like one step too much at a time; we all know how rich and complicated the dynamics of the three-b ...
Using JCP format
... the fact that Legendre polynomes will be used instead of the simpler exponential basis to diagonalize the bending problem. Although CPT can formally be applied to any kind of Hamiltonian, its use is nevertheless practically restricted to relatively simple expressions, because the calculation procedu ...
... the fact that Legendre polynomes will be used instead of the simpler exponential basis to diagonalize the bending problem. Although CPT can formally be applied to any kind of Hamiltonian, its use is nevertheless practically restricted to relatively simple expressions, because the calculation procedu ...
Continuous Variable Quantum Information: Gaussian States and
... These distributions are referred to as ‘quasi’-probability because they sum up to unity, yet do not behave entirely as one would expect from probability distributions. In particular, there are (infinitely many) quantum states ρ for which the function Wρs is not a regular probability distribution for ...
... These distributions are referred to as ‘quasi’-probability because they sum up to unity, yet do not behave entirely as one would expect from probability distributions. In particular, there are (infinitely many) quantum states ρ for which the function Wρs is not a regular probability distribution for ...
Wavefunctions and carrier-carrier interactions in InAs quantum dots
... heterostructure semiconductor lasers [3]. The quantum well (QW) laser showed improved efficiency and a lower threshold current than bulk semiconductor lasers [4]. The threshold current, i.e. the minimum injection current for which lasing is observed, was found to be less temperature sensitive than t ...
... heterostructure semiconductor lasers [3]. The quantum well (QW) laser showed improved efficiency and a lower threshold current than bulk semiconductor lasers [4]. The threshold current, i.e. the minimum injection current for which lasing is observed, was found to be less temperature sensitive than t ...
Fault-tolerant quantum repeater with atomic ensembles and linear
... a fraction of the photon’s wavelength. Moreover, entanglement generation and entanglement swapping are probabilistic. If connecting neighboring entangled pairs does not succeed after performing entanglement swapping, one has to repeat all previous procedures to reconstruct the entangled pairs. This ...
... a fraction of the photon’s wavelength. Moreover, entanglement generation and entanglement swapping are probabilistic. If connecting neighboring entangled pairs does not succeed after performing entanglement swapping, one has to repeat all previous procedures to reconstruct the entangled pairs. This ...
Population Monte Carlo algorithms
... where A = B + D and D are a diagonal matrix (I denotes an identity matrix.). Under the suitable condition on the “Green’s function” B −1 and a properly chosen value of λ ∗5 , the vector X n converges to an eigenvector of A. In the treatment on quantum mechanical problems, the matrix A is usually Ham ...
... where A = B + D and D are a diagonal matrix (I denotes an identity matrix.). Under the suitable condition on the “Green’s function” B −1 and a properly chosen value of λ ∗5 , the vector X n converges to an eigenvector of A. In the treatment on quantum mechanical problems, the matrix A is usually Ham ...
Hidden Variables and Nonlocality in Quantum Mechanics
... more. Schrödinger’s work contains a very extensive and thought provoking analysis of quantum theory. He begins with a statement of the nature of theoretical modeling and a comparison of this to the framework of quantum theory. He continues with the cat paradox, the measurement problem, and finally ...
... more. Schrödinger’s work contains a very extensive and thought provoking analysis of quantum theory. He begins with a statement of the nature of theoretical modeling and a comparison of this to the framework of quantum theory. He continues with the cat paradox, the measurement problem, and finally ...
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.