The Homological Nature of Entropy
... Abstract: We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions. Three cases are presented: (1) classical probabilities and random variables; (2) quantum probabilities and observable operators ...
... Abstract: We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions. Three cases are presented: (1) classical probabilities and random variables; (2) quantum probabilities and observable operators ...
Shor`s Factoring Algorithm and Modern Cryptography. An Illustration
... 27 = 128, of course). In ASCII23 the 26 upper case letters A through Z are represented by the integers (in base 10) 65 through 90; the corresponding lower case letters are represented by the integers 97 through 122; a space between words is represented by the integer 64; the ASCII integer representa ...
... 27 = 128, of course). In ASCII23 the 26 upper case letters A through Z are represented by the integers (in base 10) 65 through 90; the corresponding lower case letters are represented by the integers 97 through 122; a space between words is represented by the integer 64; the ASCII integer representa ...
Inconsistencies of the Adiabatic Theorem and the Berry Phase
... |ψ(0)i → |ψ(t)i. Invoking Pancharatnam’s idea of relative phase shift one can define the geometric phase for non-cyclic evolution of quantum systems [13]. The noncyclic geometric phase is then given by a gauge invariant functional of ψ(t) along an open path Γ [14] Z ΦG [Γ] = Arghψ(0)|ψ(t)i + i dthψ( ...
... |ψ(0)i → |ψ(t)i. Invoking Pancharatnam’s idea of relative phase shift one can define the geometric phase for non-cyclic evolution of quantum systems [13]. The noncyclic geometric phase is then given by a gauge invariant functional of ψ(t) along an open path Γ [14] Z ΦG [Γ] = Arghψ(0)|ψ(t)i + i dthψ( ...
Technical Roadmap for Fault-Tolerant Quantum Computing
... Bloch Sphere. The qubit’s state is given by a direction in 3D space, or by a point on the sphere ...
... Bloch Sphere. The qubit’s state is given by a direction in 3D space, or by a point on the sphere ...
![arXiv:1312.4758v2 [quant-ph] 10 Apr 2014](http://s1.studyres.com/store/data/021352507_1-d587dd4045ccae4ae6a47bb17173f358-300x300.png)
An information-theoretic perspective on the foundations of
... (correctly) the existence of nonlocal correlations in our universe. Although it has been proven to be accurate by every experiment performed to date, it still is very confusing as a theory; as Feynman points out. At the heart of this confusion is the paradigm about which QM has been constructed. Unl ...
... (correctly) the existence of nonlocal correlations in our universe. Although it has been proven to be accurate by every experiment performed to date, it still is very confusing as a theory; as Feynman points out. At the heart of this confusion is the paradigm about which QM has been constructed. Unl ...
Chapter 5 Quantum Information Theory
... If we want to communicate over a noisy channel, it is obvious that we can improve the reliability of transmission through redundancy. For example, I might send each bit many times, and the receiver could use majority voting to decode the bit. But given a channel, is it always possible to find a code ...
... If we want to communicate over a noisy channel, it is obvious that we can improve the reliability of transmission through redundancy. For example, I might send each bit many times, and the receiver could use majority voting to decode the bit. But given a channel, is it always possible to find a code ...
Universal edge information from wavefunction deformation
... corresponding to the Wen-plaquette model [25] on an infinite cylinder, a quantum double of Z2 with TO similar to the toric code. We show that we can reproduce and distinguish the two topologically distinct gapped edge theories that are well known to exist for a system with Z2 -toric code TO, by meas ...
... corresponding to the Wen-plaquette model [25] on an infinite cylinder, a quantum double of Z2 with TO similar to the toric code. We show that we can reproduce and distinguish the two topologically distinct gapped edge theories that are well known to exist for a system with Z2 -toric code TO, by meas ...
QUANTUM MONTE CARLO SIMULATION OF TUNNELLING DEVICES USING WAVEPACKETS AND BOHM TRAJECTORIES
... I have read somewhere that science has to be considered as a type of culture at the same level as painting, playing music or writing poetry. It indicates the human development of the society. However, science is also an economical motor of our society because its has a direct impact on our everyday ...
... I have read somewhere that science has to be considered as a type of culture at the same level as painting, playing music or writing poetry. It indicates the human development of the society. However, science is also an economical motor of our society because its has a direct impact on our everyday ...
How Quantum Theory Helps us Explain
... argument is genuinely explanatory only if its premises state what caused the phenomenon, where it is assumed that any cause of an instance of the phenomenon bears an asymmetric relation of causal influence to it. Lewis (1986) argued that to explain a particular event is to provide information about ...
... argument is genuinely explanatory only if its premises state what caused the phenomenon, where it is assumed that any cause of an instance of the phenomenon bears an asymmetric relation of causal influence to it. Lewis (1986) argued that to explain a particular event is to provide information about ...