Bohr`s quantum postulate and time in quantum mechanics
... In his later writings the importance Bohr gave to this consequence of the quantum postulate became even clearer. In successive drafts for an article published in 1956, Bohr uses the word ‘wholeness’, ‘indivisibility’, and ‘unity’ (Honner, 1987, p. 69), finally writing “The essential indivisibility o ...
... In his later writings the importance Bohr gave to this consequence of the quantum postulate became even clearer. In successive drafts for an article published in 1956, Bohr uses the word ‘wholeness’, ‘indivisibility’, and ‘unity’ (Honner, 1987, p. 69), finally writing “The essential indivisibility o ...
Landau Gauge Quark Propagator with External Magnetic Fields
... an infinite tower of equations relating those. A good part of the effort necessary, when putting the Dyson Schwinger method to use, is therefore choosing a finite set of these infinitely many equations and algebraically closing them by truncating the left over relations. Having no small parameters, ...
... an infinite tower of equations relating those. A good part of the effort necessary, when putting the Dyson Schwinger method to use, is therefore choosing a finite set of these infinitely many equations and algebraically closing them by truncating the left over relations. Having no small parameters, ...
SYMMETRIES IN PHYSICS: Philosophical Reflections
... theory? Do such symmetry principles capture/reflect deep ontological features of the world or are they rather artifacts of our particular formal representation? A recurring theme/concern here is whether and, if so, how we are to reconcile the canonical view of gauge invariance as relating to a non-ph ...
... theory? Do such symmetry principles capture/reflect deep ontological features of the world or are they rather artifacts of our particular formal representation? A recurring theme/concern here is whether and, if so, how we are to reconcile the canonical view of gauge invariance as relating to a non-ph ...
Matchgate and space-bounded quantum computations are equivalent
... input |y1 · · · ym i and final measurement (without loss of generality) Z1 on the first line. To express our main results we will need the notion of a classical description or encoding of a quantum (matchgate or conventional) circuit. We will assume that all our circuits are composed of gates from f ...
... input |y1 · · · ym i and final measurement (without loss of generality) Z1 on the first line. To express our main results we will need the notion of a classical description or encoding of a quantum (matchgate or conventional) circuit. We will assume that all our circuits are composed of gates from f ...
Comparison of Theory and Experiment for a One
... full quantum theory is required. We thereby gain some insight into the relationship of our system to prior theoretical treatments related to the definition of the laser threshold and to “thresholdless” lasing [18, 19, 20, 21, 22]. The fourstate model is further employed to calculate the intracavity ...
... full quantum theory is required. We thereby gain some insight into the relationship of our system to prior theoretical treatments related to the definition of the laser threshold and to “thresholdless” lasing [18, 19, 20, 21, 22]. The fourstate model is further employed to calculate the intracavity ...
sl(3) link homology 1 Introduction
... A dot on a surface will denote multiplication by X. For instance, the annulus S 1 × [0, 1] is the identity cobordism from a circle to itself, and induces the identity map Id : A → A. The same annulus with an added dot is the multiplication by X endomorphism of A. Figure 12 shows two other examples. ...
... A dot on a surface will denote multiplication by X. For instance, the annulus S 1 × [0, 1] is the identity cobordism from a circle to itself, and induces the identity map Id : A → A. The same annulus with an added dot is the multiplication by X endomorphism of A. Figure 12 shows two other examples. ...
Powerpoint - Microsoft Research
... Say f is central if for all g, fg = f g Central morphisms form a symmetric monoidal subcategory Z(K) We prefer to work in a more algebraic setting in which we specify an SM subcategory M of central morphisms I K If M is cartesian then have a J Freyd category Z(K) I Hughes: “arrows” ...
... Say f is central if for all g, fg = f g Central morphisms form a symmetric monoidal subcategory Z(K) We prefer to work in a more algebraic setting in which we specify an SM subcategory M of central morphisms I K If M is cartesian then have a J Freyd category Z(K) I Hughes: “arrows” ...
Introduction to Quantum Entanglement
... Theorem 3 ([4, 6]) Let ρ be a density operator acting on Hilbert space HA ⊗HB . Then ρ is separable if and only if for any positive map Λ ∈ L(B(HA ), B(HB )) the operator (1l ⊗ Λ)(ρ) is positive. Suppose that Λ is a transposition operator such that Λ(σ) = σ T . Hence (1l ⊗ Λ)(ρ) = ρTB and ρ is entan ...
... Theorem 3 ([4, 6]) Let ρ be a density operator acting on Hilbert space HA ⊗HB . Then ρ is separable if and only if for any positive map Λ ∈ L(B(HA ), B(HB )) the operator (1l ⊗ Λ)(ρ) is positive. Suppose that Λ is a transposition operator such that Λ(σ) = σ T . Hence (1l ⊗ Λ)(ρ) = ρTB and ρ is entan ...
arXiv:0906.1334v1 [cond-mat.supr
... time-independent ones. As a result, it is difficult to predict qualitative and quantitative behavior of driven systems even in cases in which it is very easy to understand the dynamics of the corresponding time-independent ones. But there are certain methods by which these time-dependent systems can ...
... time-independent ones. As a result, it is difficult to predict qualitative and quantitative behavior of driven systems even in cases in which it is very easy to understand the dynamics of the corresponding time-independent ones. But there are certain methods by which these time-dependent systems can ...
Spin-orbit coupling effects, interactions and superconducting
... nanoscale systems. In the first part, we focus on the combined effect of spin-orbit coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the corre ...
... nanoscale systems. In the first part, we focus on the combined effect of spin-orbit coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the corre ...
The Physical Implementation of Quantum Computation David P. DiVincenzo
... that distinguishes a qubit from a bit is that, according to the laws of quantum mechanics, the permitted states of a single qubit fills up a two-dimensional complex vector space; the general state is written a|0i + b|1i, where a and b are complex numbers, and a normalization convention |a|2 + |b|2 = ...
... that distinguishes a qubit from a bit is that, according to the laws of quantum mechanics, the permitted states of a single qubit fills up a two-dimensional complex vector space; the general state is written a|0i + b|1i, where a and b are complex numbers, and a normalization convention |a|2 + |b|2 = ...
The capacity of the noisy quantum channel
... |ψi i need be neither orthonormal nor normalized, as long as i pi hψi |ψi i = trρE = 1. That is, a quantum ensemble is just the quantum analog of a classical ensemble, where care has been taken to take into account the inherently statistical nature of quantum mechanics. Two ensembles that have the s ...
... |ψi i need be neither orthonormal nor normalized, as long as i pi hψi |ψi i = trρE = 1. That is, a quantum ensemble is just the quantum analog of a classical ensemble, where care has been taken to take into account the inherently statistical nature of quantum mechanics. Two ensembles that have the s ...
Quantum Computing: The Risk to Existing Encryption Methods
... large primes together.4 . However, it is considerably more difficult to factor a semiprime (the product of two primes) into its prime factors. It would take a supercomputer weeks or months to factor a semiprime with over 100 digits.5 Public-key cryptography is usually based on the difficulty of semi ...
... large primes together.4 . However, it is considerably more difficult to factor a semiprime (the product of two primes) into its prime factors. It would take a supercomputer weeks or months to factor a semiprime with over 100 digits.5 Public-key cryptography is usually based on the difficulty of semi ...
![arXiv:math/0606118v4 [math.PR] 5 Dec 2006](http://s1.studyres.com/store/data/013514025_1-1bac3cda767b4b11f4a6d27e549df5b9-300x300.png)
arXiv:math/0606118v4 [math.PR] 5 Dec 2006
... be, consisting of a finite number of two-state random variables (coin flips)—hence analytical complications are avoided; (ii) on the other hand, many of the mathematical tools that are indispensable in the continuous context can be developed within the framework of this model and admit simple proofs ...
... be, consisting of a finite number of two-state random variables (coin flips)—hence analytical complications are avoided; (ii) on the other hand, many of the mathematical tools that are indispensable in the continuous context can be developed within the framework of this model and admit simple proofs ...
NON-LOCAL THEORIES OF CONTINUUM MECHANICS
... porous media.[12][13][14] Atangana and Kilicman extended fractional advection dispersion equation to variable order fractional advection dispersion equation. In their work, the hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation w ...
... porous media.[12][13][14] Atangana and Kilicman extended fractional advection dispersion equation to variable order fractional advection dispersion equation. In their work, the hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation w ...
Geometry and Dynamics of a Quantum Search
... the viewpoint of quantum information geometry. As an extension of [15] on the original search sequence, the Grover-type search sequence in the ESOT, M1 (2n , ℓ), is shown to be on a geodesic. As a nontrivial result on the reduced search sequence in the QIS, the sequence is characterized in terms of ...
... the viewpoint of quantum information geometry. As an extension of [15] on the original search sequence, the Grover-type search sequence in the ESOT, M1 (2n , ℓ), is shown to be on a geodesic. As a nontrivial result on the reduced search sequence in the QIS, the sequence is characterized in terms of ...