Fundamental aspects of quantum Brownian motion
... For example, the tunnelling and the transfer of electrons, quasiparticles, and alike, is assisted by noise for which the quantum nature cannot be neglected. The features of this noise change drastically as a function of temperature: At sufficiently high temperatures a crossover does occur to classic ...
... For example, the tunnelling and the transfer of electrons, quasiparticles, and alike, is assisted by noise for which the quantum nature cannot be neglected. The features of this noise change drastically as a function of temperature: At sufficiently high temperatures a crossover does occur to classic ...
The stability of matter in quantum mechanics, by Elliott H. Lieb and
... Energetic stability, i.e., the fact that there is a lower bound to the energy, is referred to in the book as stability of the first kind. Stability of matter, also called stability of the second kind, is a more complicated notion relating to the energy of macroscopic systems. Individual atoms or mole ...
... Energetic stability, i.e., the fact that there is a lower bound to the energy, is referred to in the book as stability of the first kind. Stability of matter, also called stability of the second kind, is a more complicated notion relating to the energy of macroscopic systems. Individual atoms or mole ...
The wave function and particle ontology - Philsci
... and (x1 , y1 , z1 ). This means that the picture of discontinuous motion also exists for one-body systems. Since quantum mechanics does not provide further information about the positions of the physical entities at each instant, the discontinuous motion described by the theory is also essentially r ...
... and (x1 , y1 , z1 ). This means that the picture of discontinuous motion also exists for one-body systems. Since quantum mechanics does not provide further information about the positions of the physical entities at each instant, the discontinuous motion described by the theory is also essentially r ...
Chapter 5. The Schrödinger Wave Equation Formulation of Quantum
... over histories. Whatever the case, all of these versions of quantum mechanics are equivalent and make the same predictions for the outcome of measurements. Since our analyses of quantum mechanical systems will be conducted through the intermediary of wave functions it would seem natural to also have ...
... over histories. Whatever the case, all of these versions of quantum mechanics are equivalent and make the same predictions for the outcome of measurements. Since our analyses of quantum mechanical systems will be conducted through the intermediary of wave functions it would seem natural to also have ...
Manipulating and Measuring the Quantum State of Photons and Atoms
... Characterize unknown quantum states & processes Compare experimentally designed states & processes to design goals Extract quantities such as fidelity / purity / tangle Have enough information to extract any quantities defined in the future! • or, for instance, show that no Bell-inequality could be ...
... Characterize unknown quantum states & processes Compare experimentally designed states & processes to design goals Extract quantities such as fidelity / purity / tangle Have enough information to extract any quantities defined in the future! • or, for instance, show that no Bell-inequality could be ...
The capacity of the noisy quantum channel
... information. And after all, ‘classical’ information-registering systems such as capacitors and neurons are at bottom quantum-mechanical. The difference arises from the conditions under which such systems operate. When properly isolated from their environment, photons and atoms can exist in superposi ...
... information. And after all, ‘classical’ information-registering systems such as capacitors and neurons are at bottom quantum-mechanical. The difference arises from the conditions under which such systems operate. When properly isolated from their environment, photons and atoms can exist in superposi ...
Quantum one-time programs
... can be inferred from f (x). One-time programs cannot be achieved by software alone, as any classical software can be re-run. Thus, any hope of achieving any one-time property must necessarily rely on an additional assumptions such as secure hardware or quantum mechanics: computational assumptions al ...
... can be inferred from f (x). One-time programs cannot be achieved by software alone, as any classical software can be re-run. Thus, any hope of achieving any one-time property must necessarily rely on an additional assumptions such as secure hardware or quantum mechanics: computational assumptions al ...
JQI Fellows - University of Maryland, College Park
... calculation are complete. Of course you will need to do some work beforehand to figure out what H' corresponds to what mathematical or logical operation. The system is left in a well-defined state ... but it is typically a superposition of classical (0&1) states. The state of each qubit is then meas ...
... calculation are complete. Of course you will need to do some work beforehand to figure out what H' corresponds to what mathematical or logical operation. The system is left in a well-defined state ... but it is typically a superposition of classical (0&1) states. The state of each qubit is then meas ...
14-Research quantum mechanical methods of bioobjects
... 3. The wave function must be twice differentiable. This means that it and its derivative must be continuous. (An exception to this rule occurs when V is infinite.) 4. In order to normalize a wave function, it must approach zero as x approaches infinity. ...
... 3. The wave function must be twice differentiable. This means that it and its derivative must be continuous. (An exception to this rule occurs when V is infinite.) 4. In order to normalize a wave function, it must approach zero as x approaches infinity. ...
Experimental Implementation of Encoded Logical Qubit Operations
... To assess the usefulness of the scheme, we compare the achieved fidelities to an idealized experiment where we do not use QEC, but the same 16 error conditions can occur, with equal probabilities. In this case, the three single-qubit errors acting on the first qubit result in zero fidelity, while th ...
... To assess the usefulness of the scheme, we compare the achieved fidelities to an idealized experiment where we do not use QEC, but the same 16 error conditions can occur, with equal probabilities. In this case, the three single-qubit errors acting on the first qubit result in zero fidelity, while th ...
A Factor-Graph Representation of Probabilities in Quantum Mechanics
... In traditional statistical models, such auxiliary state variables are themselves random variables, and the total model is a joint probability law over all variables as, e.g., in (9). (A statistical model may also contain parameters in addition to auxiliary random variables, but such parameters are n ...
... In traditional statistical models, such auxiliary state variables are themselves random variables, and the total model is a joint probability law over all variables as, e.g., in (9). (A statistical model may also contain parameters in addition to auxiliary random variables, but such parameters are n ...
Quantum Spin Hall Effect and their Topological Design of Devices
... insulator must contemplate the necessity of a topological surface theory based in certain symmetry respect to invariant which characterizes to a state as trivial or non-trivial when there is certain insulator component. The best 2-dimensional topological band invariant is the given by S z , Topologi ...
... insulator must contemplate the necessity of a topological surface theory based in certain symmetry respect to invariant which characterizes to a state as trivial or non-trivial when there is certain insulator component. The best 2-dimensional topological band invariant is the given by S z , Topologi ...
The Road to Loop Quantum Gravity - Theoretical High
... are only valid for the presupposed metric. A background independent theory will lead to a set of equations (in GRT Einstein’s equations) which contains an undetermined metric. The form of this metric is then given by the solutions to the equations. So if you suppose GRT is a valid theory, your follo ...
... are only valid for the presupposed metric. A background independent theory will lead to a set of equations (in GRT Einstein’s equations) which contains an undetermined metric. The form of this metric is then given by the solutions to the equations. So if you suppose GRT is a valid theory, your follo ...
quantum number
... electrons to a multielectron atom to find the lowest energy state (ground state) of the atom. 1) Pauli principle - No two electrons can have the same set of four quantum numbers. 2) Aufbau principle - Electrons add to the lowest energy available orbital until that orbital is filled. 3) Hund’s rule - ...
... electrons to a multielectron atom to find the lowest energy state (ground state) of the atom. 1) Pauli principle - No two electrons can have the same set of four quantum numbers. 2) Aufbau principle - Electrons add to the lowest energy available orbital until that orbital is filled. 3) Hund’s rule - ...
Infinite-randomness quantum critical points induced by dissipation
... conventional ground states,19,20 and their quantum phase transitions are governed by conventional critical points.21–24 As in the Ising case, adding Ohmic dissipation hampers the dynamics of O共N兲 symmetric order parameters. Vojta and Schmalian25 showed that the “energy gap” of large locally ordered ...
... conventional ground states,19,20 and their quantum phase transitions are governed by conventional critical points.21–24 As in the Ising case, adding Ohmic dissipation hampers the dynamics of O共N兲 symmetric order parameters. Vojta and Schmalian25 showed that the “energy gap” of large locally ordered ...
Chapter 5
... models) with discussions of interpretive themes; and 2) We introduced several entirely new topics (e.g., delayed-‐choice experiments) that created additional opportunities for students to explore the ...
... models) with discussions of interpretive themes; and 2) We introduced several entirely new topics (e.g., delayed-‐choice experiments) that created additional opportunities for students to explore the ...