Exploring dynamical phase transitions and prethermalization with
... excitations grow in time. Alternatively, they can be characterized by studying quantitatively the nonanalytic behavior of the stationary number of excitations (or higher moments) as a function of the quench parameter (see Fig. 2). Experiments of this type are feasible with cold-atomic gases, where h ...
... excitations grow in time. Alternatively, they can be characterized by studying quantitatively the nonanalytic behavior of the stationary number of excitations (or higher moments) as a function of the quench parameter (see Fig. 2). Experiments of this type are feasible with cold-atomic gases, where h ...
Geometry of State Spaces - Institut für Theoretische Physik
... characterized by a density operator. But in the other, infinite cases, there are in addition states of quite different nature, the so-called singular ones. They can be ignored in theories with finitely many degrees of freedom, for instance in Schrödinger theory. But in treating unbounded many degre ...
... characterized by a density operator. But in the other, infinite cases, there are in addition states of quite different nature, the so-called singular ones. They can be ignored in theories with finitely many degrees of freedom, for instance in Schrödinger theory. But in treating unbounded many degre ...
BQP and the Polynomial Hierarchy
... level, it is both theoretically and practically important to understand what classical resources are needed to simulate quantum physics. For example, when a quantum system evolves to a given state, is there always a short classical proof that it does so? Can one estimate quantum amplitudes using app ...
... level, it is both theoretically and practically important to understand what classical resources are needed to simulate quantum physics. For example, when a quantum system evolves to a given state, is there always a short classical proof that it does so? Can one estimate quantum amplitudes using app ...
Quantum Computation, Quantum Theory and AI
... theory married with computer science, another great intellectual triumph of the 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain q ...
... theory married with computer science, another great intellectual triumph of the 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain q ...
Path integrals and the classical approximation
... space of states. Possible measurements and symmetry operations are represented by other operators. In the simplest case, this formulation is the same as the one particle Schrödinger equation. This is the Schrödinger picture for quantum mechanics. There is an alternative way of looking at the same ...
... space of states. Possible measurements and symmetry operations are represented by other operators. In the simplest case, this formulation is the same as the one particle Schrödinger equation. This is the Schrödinger picture for quantum mechanics. There is an alternative way of looking at the same ...
quantum dynamics of integrable spin chains
... The extension to local observables was done in the study of impurity models. Both Tjon [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, ...
... The extension to local observables was done in the study of impurity models. Both Tjon [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, ...
The Threshold for Fault-Tolerant Quantum Computation
... Ancilla factories create complex ancilla states to substitute for most gates on the data. Errors on ancillas are less serious, since bad ancillas can be discarded safely. Taking this idea to an extreme (e.g., overhead of 106 or more physical qubits per logical qubit), simulations show a threshold of ...
... Ancilla factories create complex ancilla states to substitute for most gates on the data. Errors on ancillas are less serious, since bad ancillas can be discarded safely. Taking this idea to an extreme (e.g., overhead of 106 or more physical qubits per logical qubit), simulations show a threshold of ...
Decoherence of a Quantum Bit Circuit
... Figure 2: Kane’s proposal: nuclear spins of phosphorus impurities form the qubits. The control is provided by the hyperfine interaction with a bound electron around each impurity. Each qubit is controlled by applying a voltage to an A gate electrode that displaces slightly the wavefunction of the bo ...
... Figure 2: Kane’s proposal: nuclear spins of phosphorus impurities form the qubits. The control is provided by the hyperfine interaction with a bound electron around each impurity. Each qubit is controlled by applying a voltage to an A gate electrode that displaces slightly the wavefunction of the bo ...
PhysRevLett.102.137201_17
... While the UUD phase is well established for the isotropic triangular antiferromagnet, much less is known about the plateau’s stability and its proximate quantum phases in the anisotropic case. The challenge here is illuminated by first observing that when J ¼ J 0 , the UUD state appears due to an ‘‘ ...
... While the UUD phase is well established for the isotropic triangular antiferromagnet, much less is known about the plateau’s stability and its proximate quantum phases in the anisotropic case. The challenge here is illuminated by first observing that when J ¼ J 0 , the UUD state appears due to an ‘‘ ...
Notes on Functional Analysis in QM
... number theory. In addition, the notion of a Hilbert space provides the mathematical foundation of quantum mechanics. Indeed, the definition of a Hilbert space was first given by von Neumann (rather than Hilbert!) in 1927 precisely for the latter purpose. However, despite his exceptional brilliance, ...
... number theory. In addition, the notion of a Hilbert space provides the mathematical foundation of quantum mechanics. Indeed, the definition of a Hilbert space was first given by von Neumann (rather than Hilbert!) in 1927 precisely for the latter purpose. However, despite his exceptional brilliance, ...
Chapter 7 Quantum Theory of the Atom
... Building on de Broglie’s work, in 1926, Erwin Schrödinger devised a theory that could be used to explain the wave properties of electrons in atoms and molecules. The branch of physics that mathematically describes the wave properties of submicroscopic particles is called quantum mechanics or wave m ...
... Building on de Broglie’s work, in 1926, Erwin Schrödinger devised a theory that could be used to explain the wave properties of electrons in atoms and molecules. The branch of physics that mathematically describes the wave properties of submicroscopic particles is called quantum mechanics or wave m ...
Quantum Computation and Quantum Information
... Quantum mechanics depicts phenomena at microscopic level such as position and momentum of an individual particle like an atom or electron, spin of an electron, detection of light photons, and the emission and absorption of light by atoms. Unlike classical mechanics where physical entities like posit ...
... Quantum mechanics depicts phenomena at microscopic level such as position and momentum of an individual particle like an atom or electron, spin of an electron, detection of light photons, and the emission and absorption of light by atoms. Unlike classical mechanics where physical entities like posit ...
Studies in Quantum Information Theory
... be, and Shivaji did too. And for that I am truly grateful. A huge thanks goes to Chiara and Herman, who were supportive during their respective tenures as Director of Graduate Studies, and I should also mention Laurel Lerner as being a huge help every step of the way. I believe this truly is one of ...
... be, and Shivaji did too. And for that I am truly grateful. A huge thanks goes to Chiara and Herman, who were supportive during their respective tenures as Director of Graduate Studies, and I should also mention Laurel Lerner as being a huge help every step of the way. I believe this truly is one of ...
Quantum Query Algorithms - Baltic Journal of Modern Computing
... because it is a proven fact that quantum computing can solve certain problems faster than classical computing (Shor, 1997), (Grover,1996). Although quantum computers are not yet available to everyone, many scientists all over the world are working to make them universally available in the future. Th ...
... because it is a proven fact that quantum computing can solve certain problems faster than classical computing (Shor, 1997), (Grover,1996). Although quantum computers are not yet available to everyone, many scientists all over the world are working to make them universally available in the future. Th ...
Techniques and Applications - Angelo Raymond Rossi
... The Classical Harmonic Oscillator To understand vibrations in molecules, it is important to understand the quantum mechanical treatment of a harmonic oscillator. As background, it is necessary to review the classical treatment of harmonic oscillator. The simplest example of a harmonic oscillator is ...
... The Classical Harmonic Oscillator To understand vibrations in molecules, it is important to understand the quantum mechanical treatment of a harmonic oscillator. As background, it is necessary to review the classical treatment of harmonic oscillator. The simplest example of a harmonic oscillator is ...
