ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER
... In Chapter 2, we prove a version of the AT that includes explicit definitions of constants, so that we may compare the predictions of theorems derived from it to example evolutions. Our version is based most closely on that of Reichardt [41], which is based on that by Avron [5] (with later correctio ...
... In Chapter 2, we prove a version of the AT that includes explicit definitions of constants, so that we may compare the predictions of theorems derived from it to example evolutions. Our version is based most closely on that of Reichardt [41], which is based on that by Avron [5] (with later correctio ...
Statistical Mechanics to Disordered Quantum Optimization
... are straightforward. This leads to the study of typical-case complexity for random ensembles of NP-complete problems – ensembles which bear many of the features of mean field spin glasses. We will review some of the qualitative features of this connection in the context of classical optimization. In ...
... are straightforward. This leads to the study of typical-case complexity for random ensembles of NP-complete problems – ensembles which bear many of the features of mean field spin glasses. We will review some of the qualitative features of this connection in the context of classical optimization. In ...
Quantum Optics Toolbox User`s Guide
... equation for the density matrix[1] or by using some state-vector based approach such as the quantum Monte Carlo technique[2][3]. Starting from the Hamiltonian of the system and the coupling to the baths, it is in principle a simple process to derive either the master equation or the stochastic Schrö ...
... equation for the density matrix[1] or by using some state-vector based approach such as the quantum Monte Carlo technique[2][3]. Starting from the Hamiltonian of the system and the coupling to the baths, it is in principle a simple process to derive either the master equation or the stochastic Schrö ...
MOCK MODULAR FORMS AND QUANTUM MODULAR FORMS 1
... In his 1920 letter to Hardy [1], Ramanujan constructed seventeen examples which he called “mock theta functions”. Ramanujan claimed that these functions satisfiy: (1) they had infinitely many singularities at rationals, (2) it was impossible to construct a single modular form to cut out all of the s ...
... In his 1920 letter to Hardy [1], Ramanujan constructed seventeen examples which he called “mock theta functions”. Ramanujan claimed that these functions satisfiy: (1) they had infinitely many singularities at rationals, (2) it was impossible to construct a single modular form to cut out all of the s ...
Giesecke-Final-ternary-gates
... The last type of circuit structure is introduced in Fig. 2.8. This structure is derived from the structure in Fig. 2.1b and is the most universal one out of the five general structures depicted in Figures 2.1, 2.4 and 2.8. The number of qudits is free to choose, as well as the number of ancilla qud ...
... The last type of circuit structure is introduced in Fig. 2.8. This structure is derived from the structure in Fig. 2.1b and is the most universal one out of the five general structures depicted in Figures 2.1, 2.4 and 2.8. The number of qudits is free to choose, as well as the number of ancilla qud ...
Chapter 1
... powerful than any other known model of computing, but it is so only for some problems. In principle, probabilistic and deterministic computers can be simulated on quantum computers, but there is usually no need to do this. The quantum model of computing is so much powerful that we should use its ful ...
... powerful than any other known model of computing, but it is so only for some problems. In principle, probabilistic and deterministic computers can be simulated on quantum computers, but there is usually no need to do this. The quantum model of computing is so much powerful that we should use its ful ...
Are Orbitals Observable? - HYLE-
... Ostrovsky argues that although strictly speaking, Scerri is right, approximations are ubiquitous in science, in quantum mechanics no less than in other fields (Ostrovsky 2005, p. 111). In the case of orbitals, hydrogenic orbitals are not even the exact states of the electron in the hydrogen atom, fo ...
... Ostrovsky argues that although strictly speaking, Scerri is right, approximations are ubiquitous in science, in quantum mechanics no less than in other fields (Ostrovsky 2005, p. 111). In the case of orbitals, hydrogenic orbitals are not even the exact states of the electron in the hydrogen atom, fo ...
Quantum Physics of Nature QuPoN 2015 Book of Abstracts
... The strong dipole-dipole interaction between cold Rydberg atoms is the object of intense theoretical and experimental interest, since it opens exciting perspectives for the study of a wide range of collective quantum phenomena. The resonant laser excitation of a dense sample of cold atoms into Rydbe ...
... The strong dipole-dipole interaction between cold Rydberg atoms is the object of intense theoretical and experimental interest, since it opens exciting perspectives for the study of a wide range of collective quantum phenomena. The resonant laser excitation of a dense sample of cold atoms into Rydbe ...
A Noncommutative Sigma Model by Mauritz van den Worm
... and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining its K-theory and the unique trace on the quantum torus. The final section of Chapter 1 deals with a finite dimensional representation of the quantu ...
... and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining its K-theory and the unique trace on the quantum torus. The final section of Chapter 1 deals with a finite dimensional representation of the quantu ...
Cotunneling in the ν Robert Zielke, Bernd Braunecker,
... the setup in Fig. 1(a). The cotunneling current is then given by Eqs. (1) and (2) with κ = 1/ν.35 In this scenario, 1/ν QPs of fractional charge ν combine to a full electron charge when tunneling through the QD, such that not one particle has to tunnel but ν1 − 1 additional particles. Due to the nec ...
... the setup in Fig. 1(a). The cotunneling current is then given by Eqs. (1) and (2) with κ = 1/ν.35 In this scenario, 1/ν QPs of fractional charge ν combine to a full electron charge when tunneling through the QD, such that not one particle has to tunnel but ν1 − 1 additional particles. Due to the nec ...
Spin-1 J1-J2 Heisenberg antiferromagnet on a square lattice: A
... Numerical studies of frustrated quantum spin systems present great challenges in dimensions greater than one. The ED method is hampered by the limitation of system size one can simulate. At present, the largest system size on the square lattice that can be simulated is N = 40.14,26 Due to the minus ...
... Numerical studies of frustrated quantum spin systems present great challenges in dimensions greater than one. The ED method is hampered by the limitation of system size one can simulate. At present, the largest system size on the square lattice that can be simulated is N = 40.14,26 Due to the minus ...
The Laboratory of the Mind: Thought Experiments in the Natural
... view, is eminently respectable, whereas a priorism about the physical world is likely be dismissed out of hand. So the point of the third chapter is to carry empiricist-, naturalist-, and physicalistminded readers as gently as possible into chapter four which contends that we really do have some a p ...
... view, is eminently respectable, whereas a priorism about the physical world is likely be dismissed out of hand. So the point of the third chapter is to carry empiricist-, naturalist-, and physicalistminded readers as gently as possible into chapter four which contends that we really do have some a p ...
Electronic structure, plane waves and pseudopotentials
... In the special case that the electrons are evenly spread throughout space, we can actually compute Exc [ρ]. We can use this as an approximation to the true Exc in our calculations. ...
... In the special case that the electrons are evenly spread throughout space, we can actually compute Exc [ρ]. We can use this as an approximation to the true Exc in our calculations. ...
Quantum States of Neutrons in the Gravitational Field
... What is gravity? In many respects this may be one of the most important questions ever asked. Answers to it have always been milestones on the way from ancient natural philosophy to modern science. Every physicist knows the legendary free fall experiments of Galileo Galilei at the dawn of empiricism ...
... What is gravity? In many respects this may be one of the most important questions ever asked. Answers to it have always been milestones on the way from ancient natural philosophy to modern science. Every physicist knows the legendary free fall experiments of Galileo Galilei at the dawn of empiricism ...
- Philsci
... to be carried out by means of an external device other than the position of the particles; see below) At stages 3 and 4 the particles are separated (reversibly) by a semipermeable partition according to the measurements’ outcomes, in such a way that by the end of stage 4 their spins get correlated t ...
... to be carried out by means of an external device other than the position of the particles; see below) At stages 3 and 4 the particles are separated (reversibly) by a semipermeable partition according to the measurements’ outcomes, in such a way that by the end of stage 4 their spins get correlated t ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: