(pdf)
... At this point, we should not try to ascribe a physical meaning to fn (x); it will be more productive for us to think of |ni as a vector in L2 than explicitly as a function. 1.2. Observables. An observable of a system is a property of the system derived from a physical measurement on the system. Exam ...
... At this point, we should not try to ascribe a physical meaning to fn (x); it will be more productive for us to think of |ni as a vector in L2 than explicitly as a function. 1.2. Observables. An observable of a system is a property of the system derived from a physical measurement on the system. Exam ...
aps13-bohr - Caltech Particle Theory
... Quantum information can be nonlocal, shared equally by a box in Pasadena and a box in Andromeda. This phenomenon, called quantum entanglement, is a crucial feature that distinguishes quantum information from classical information. ...
... Quantum information can be nonlocal, shared equally by a box in Pasadena and a box in Andromeda. This phenomenon, called quantum entanglement, is a crucial feature that distinguishes quantum information from classical information. ...
Computational advantage from quantum
... It is interesting, nevertheless, to compare the time required to solve the problem between quantum and classical computers. If we assume that the unitaries Ui are decomposed in a polynomial amount of elementary gates, they can be given as an input of polynomial size to a classical algorithm, and it ...
... It is interesting, nevertheless, to compare the time required to solve the problem between quantum and classical computers. If we assume that the unitaries Ui are decomposed in a polynomial amount of elementary gates, they can be given as an input of polynomial size to a classical algorithm, and it ...
Equality and Identity and (In)distinguishability in Classical and Quantum Mechanics from the Point of View of Newton's Notion of State
... same mass at rest, electrical charge, modulus of spin, etc.; Pauli’s exclusion principle: 2 electrons di¤er in at least one quantum number –however: it does not say, which electron is in which state (entanglement); The quanta occupying an oscillator loose their individuality: Say, 12 quanta in state ...
... same mass at rest, electrical charge, modulus of spin, etc.; Pauli’s exclusion principle: 2 electrons di¤er in at least one quantum number –however: it does not say, which electron is in which state (entanglement); The quanta occupying an oscillator loose their individuality: Say, 12 quanta in state ...
cargese
... Material or formal causality ? Does the act of observation create the reality ? • Wave function Y is the form of the system • Measurement “collapses the wave function” i.e. changes the form • Form is unknown prior to the measurement ...
... Material or formal causality ? Does the act of observation create the reality ? • Wave function Y is the form of the system • Measurement “collapses the wave function” i.e. changes the form • Form is unknown prior to the measurement ...
G-Complexity, Quantum Computation and Anticipatory Processes
... looked-for value falling in place. Expert abacus users obtain the result in the same way: the beads are moved along and the outcome is the configuration. Try factorization of this outcome, i.e., reverse calculation of the prime numbers multiplied, and you run into a classical tractability problem. I ...
... looked-for value falling in place. Expert abacus users obtain the result in the same way: the beads are moved along and the outcome is the configuration. Try factorization of this outcome, i.e., reverse calculation of the prime numbers multiplied, and you run into a classical tractability problem. I ...
http://math.ucsd.edu/~nwallach/venice.pdf
... We will come back to a few more aspects of digital computing as we develop a model for quantum computation. ...
... We will come back to a few more aspects of digital computing as we develop a model for quantum computation. ...
Computing Systems
... that emerged from the comparison between computing machines and the human nervous system. This field aims both to understand how the brain of living organisms works (brain theory or computational neuroscience), and to design efficient algorithms based on the principles of how the human brain process ...
... that emerged from the comparison between computing machines and the human nervous system. This field aims both to understand how the brain of living organisms works (brain theory or computational neuroscience), and to design efficient algorithms based on the principles of how the human brain process ...
proper_time_Bhubanes.. - Institute of Physics, Bhubaneswar
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
Quantum phase transitions and novel phases in condensed matter
... Phase diagrams of LiHoF4 and a typical high-Tc superconductor such as YBa2Cu3O6+x ...
... Phase diagrams of LiHoF4 and a typical high-Tc superconductor such as YBa2Cu3O6+x ...
PDF
... Quantum groupoid (or their dual, weak Hopf coalgebras) and algebroid symmetries figure prominently both in the theory of dynamical deformations of quantum groups (or their dual Hopf algebras) and the quantum Yang–Baxter equations (Etingof et al., 1999, 2001; [?, ?]). On the other hand, one can also ...
... Quantum groupoid (or their dual, weak Hopf coalgebras) and algebroid symmetries figure prominently both in the theory of dynamical deformations of quantum groups (or their dual Hopf algebras) and the quantum Yang–Baxter equations (Etingof et al., 1999, 2001; [?, ?]). On the other hand, one can also ...
The illusion of the Heisenberg limit - Faculty of Physics University of
... Fundamental bound on quantum enhancement of precision ...
... Fundamental bound on quantum enhancement of precision ...
introductory lecture on quantum computing
... – Measurement yields only one state X of the superposed states – Measurement also makes X the new state and so interferes with computational processes – X is determined with some probability, implying uncertainty in the result – States cannot be copied (“cloned”), implying that signal fanout is not ...
... – Measurement yields only one state X of the superposed states – Measurement also makes X the new state and so interferes with computational processes – X is determined with some probability, implying uncertainty in the result – States cannot be copied (“cloned”), implying that signal fanout is not ...
Preparation of Papers in Two-Column Format for the
... simultaneously operate on all 2500 states. Thus in a time period of like 1 second , a quantum operation could compute not just on one machine state, as serial computers do, but on 2500 machine states at once. Peter Shor, who was a researcher and computer scientist at AT&T's Bell Laboratories in New ...
... simultaneously operate on all 2500 states. Thus in a time period of like 1 second , a quantum operation could compute not just on one machine state, as serial computers do, but on 2500 machine states at once. Peter Shor, who was a researcher and computer scientist at AT&T's Bell Laboratories in New ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.