Adiabatic Quantum State Generation and Statistical Zero Knowledge
... quantum circuits solving the state generation problem, from adiabatic state generation algorithms. Indeed, any adiabatic state generator can be simulated efficiently by a quantum circuit. We give two proofs of this fact. The first proof follows from the adiabatic theorem. The second proof is self co ...
... quantum circuits solving the state generation problem, from adiabatic state generation algorithms. Indeed, any adiabatic state generator can be simulated efficiently by a quantum circuit. We give two proofs of this fact. The first proof follows from the adiabatic theorem. The second proof is self co ...
Review Sheet on Determining Term Symbols
... The number of microstates (N) of a system corresponds to the total number of distinct arrangements for “e” number of electrons to be placed in “n” number of possible orbital positions. N = # of microstates = n!/(e!(n-e)!) For a set of p orbitals n = 6 since there are 2 positions in each orbital. The ...
... The number of microstates (N) of a system corresponds to the total number of distinct arrangements for “e” number of electrons to be placed in “n” number of possible orbital positions. N = # of microstates = n!/(e!(n-e)!) For a set of p orbitals n = 6 since there are 2 positions in each orbital. The ...
Statistical Mechanics to Disordered Quantum Optimization
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
Notes on Semiclassical Gravity
... quantum general relativity. We discuss the conditions under which the expectation value of the energy-momentum tensor can act as the source for a semiclassical, c-number, gravitational field. The basic issues can be understood from the study of the semiclassical limit of a toy model, consisting of t ...
... quantum general relativity. We discuss the conditions under which the expectation value of the energy-momentum tensor can act as the source for a semiclassical, c-number, gravitational field. The basic issues can be understood from the study of the semiclassical limit of a toy model, consisting of t ...
Do we really understand quantum mechanics?
... (see [3], [4] and [5], as well as the discussion given in [6]); another reason is, of course, the great impact of the discoveries and ideas of J. Bell [7]. At the turn of the century, it is probably fair to say that we are no longer sure that the Copenhagen interpretation is the only possible consis ...
... (see [3], [4] and [5], as well as the discussion given in [6]); another reason is, of course, the great impact of the discoveries and ideas of J. Bell [7]. At the turn of the century, it is probably fair to say that we are no longer sure that the Copenhagen interpretation is the only possible consis ...
91, 053630 (2015).
... Raman transitions [41] enables the direct observation and manipulation of SLM coupled Bose-Einstein condensates (BECs) and degenerate Fermi gases. In spin-orbit coupled BECs, interaction effects are expected to be essential for newly emergent quantum phases [16]. However, compared with the typical k ...
... Raman transitions [41] enables the direct observation and manipulation of SLM coupled Bose-Einstein condensates (BECs) and degenerate Fermi gases. In spin-orbit coupled BECs, interaction effects are expected to be essential for newly emergent quantum phases [16]. However, compared with the typical k ...
QUANTUM STATES, ENTANGLEMENT and CLOSED TIMELIKE
... U(|ψiCR |k iCTC) = m fmk (ψ)|akm (ψ)iCR |uP m (ψ)iCTC , where fmk (ψ)’s are the Schmidt coefficients with m fmk (ψ) = 1 for k all k , |akm (ψ)iCR and |um (ψ)iCTC are orthonormal. • Therefore, we have X X k k pk |k ihk | = pk fmk (ψ)|um (ψ)ihum (ψ)|. k ...
... U(|ψiCR |k iCTC) = m fmk (ψ)|akm (ψ)iCR |uP m (ψ)iCTC , where fmk (ψ)’s are the Schmidt coefficients with m fmk (ψ) = 1 for k all k , |akm (ψ)iCR and |um (ψ)iCTC are orthonormal. • Therefore, we have X X k k pk |k ihk | = pk fmk (ψ)|um (ψ)ihum (ψ)|. k ...
Decoherence of a Quantum Bit Circuit
... the time needed to get the outcome, and even faster if the readout efficiency is below the quantum limit. In order to reduce decoherence, the readout circuit should thus be switched off when the qubit is operated, and switched on just at readout time. Before explaining a possible strategy to circumv ...
... the time needed to get the outcome, and even faster if the readout efficiency is below the quantum limit. In order to reduce decoherence, the readout circuit should thus be switched off when the qubit is operated, and switched on just at readout time. Before explaining a possible strategy to circumv ...
What you thought you already knew about the bending motion of
... Let us look first briefly at the properties of the PES. For a molecule in the linear configuration, viewed in the space defined by a Cartesian molecule-fixed coordinate system, of which one axis coincides with the linear equilibrium configuration, all directions of a possible bending distortion have ...
... Let us look first briefly at the properties of the PES. For a molecule in the linear configuration, viewed in the space defined by a Cartesian molecule-fixed coordinate system, of which one axis coincides with the linear equilibrium configuration, all directions of a possible bending distortion have ...
Change Without Time - Publikationsserver der Universität Regensburg
... system can act as a carrier of information on time between the (classical) preparation and measurement devices, or, to put it differently, the quantum system always shares the same time with the measurement apparatus, even without any intentional measurement of time being performed. This means, that ...
... system can act as a carrier of information on time between the (classical) preparation and measurement devices, or, to put it differently, the quantum system always shares the same time with the measurement apparatus, even without any intentional measurement of time being performed. This means, that ...
Computing with Highly Mixed States
... repeated a polynomial number of times. As described above, a quantum computer consists of unitary transformations followed by one measurement at the end of computation. More generally, one could define quantum computation as an arbitrary sequence of unitary transformations and measurements, where a ...
... repeated a polynomial number of times. As described above, a quantum computer consists of unitary transformations followed by one measurement at the end of computation. More generally, one could define quantum computation as an arbitrary sequence of unitary transformations and measurements, where a ...
Superconducting Circuits and Quantum Computation—T. P. Orlando
... Chapter 20. Superconducting Circuits and Quantum Computation Figure 1a shows a SEM image of the persistent current qubit (inner loop) and the measuring dc SQUID (outer) loop. A schematic of the qubit and the measuring circuit is shown in Figure 1b, where the Josephson junctions are denoted by x's. ...
... Chapter 20. Superconducting Circuits and Quantum Computation Figure 1a shows a SEM image of the persistent current qubit (inner loop) and the measuring dc SQUID (outer) loop. A schematic of the qubit and the measuring circuit is shown in Figure 1b, where the Josephson junctions are denoted by x's. ...
Two-body momentum correlations in a weakly interacting one
... anticorrelation on the (k, k ′ ) plane. We also analyze the crossover from the quasicondensate to the ideal Bose gas regime, using a classical field theory, and show how the behaviorof G(k, k ′ ) undergoes a continuous transformation between the two limiting regimes. The paper is organized as follow ...
... anticorrelation on the (k, k ′ ) plane. We also analyze the crossover from the quasicondensate to the ideal Bose gas regime, using a classical field theory, and show how the behaviorof G(k, k ′ ) undergoes a continuous transformation between the two limiting regimes. The paper is organized as follow ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.