qm1 - Michael Nielsen
... Worked exercise: Suppose a two-qubit system is in the state 0.8 00 0.6 11 . A NOT gate is applied to the second qubit, and a measurement performed in the computational basis. What are the probabilities for the ...
... Worked exercise: Suppose a two-qubit system is in the state 0.8 00 0.6 11 . A NOT gate is applied to the second qubit, and a measurement performed in the computational basis. What are the probabilities for the ...
abstract.
... numbers of spins. If this set-up had been examined more closely in ref. [2], the fact that the “vector model“ is unfit for the description of single quantum events would have appeared quite clearly. This set-up is represented here in Fig.1. At the bottom of the figure, a horizontal disk is represent ...
... numbers of spins. If this set-up had been examined more closely in ref. [2], the fact that the “vector model“ is unfit for the description of single quantum events would have appeared quite clearly. This set-up is represented here in Fig.1. At the bottom of the figure, a horizontal disk is represent ...
Riemannian method in quantum field theory about curved space-time
... quantizing the operator Hs. With the wave operator A4 associated to 9~k one considers the wave equation ( - A 4 + m 2) ~o = 0 . I f u s Fs one solves this equation with the initial data ~0 = u ...
... quantizing the operator Hs. With the wave operator A4 associated to 9~k one considers the wave equation ( - A 4 + m 2) ~o = 0 . I f u s Fs one solves this equation with the initial data ~0 = u ...
Glasgow2004
... exchange (quantum cryptography). This is because any attempt by an eavesdropper (say Eve) to distinguish between two nonorthogonal quantum states shared by two remote parties (say Alice and Bob) will occur at the price of introducing a disturbance to the signal, thus revealing the attack, and allowi ...
... exchange (quantum cryptography). This is because any attempt by an eavesdropper (say Eve) to distinguish between two nonorthogonal quantum states shared by two remote parties (say Alice and Bob) will occur at the price of introducing a disturbance to the signal, thus revealing the attack, and allowi ...
Glossary Chapter 4
... Pauli exclusion principle no two electrons in the same atom can have the same set of four quantum numbers (106) photoelectric effect the emission of electrons from a metal when light shines on the metal (93) photon a particle of electromagnetic radiation that has zero rest mass and carries a quantum ...
... Pauli exclusion principle no two electrons in the same atom can have the same set of four quantum numbers (106) photoelectric effect the emission of electrons from a metal when light shines on the metal (93) photon a particle of electromagnetic radiation that has zero rest mass and carries a quantum ...
Another version - Scott Aaronson
... Can every n-qubit unitary be implemented by a quantum circuit with poly(n) depth (but maybe exp(n) ancilla qubits)? Could we prove—unconditionally, with today’s technology—that exponentially many gates are needed to implement some n-qubit unitary U? Generalizations of the Natural Proofs barrier? ...
... Can every n-qubit unitary be implemented by a quantum circuit with poly(n) depth (but maybe exp(n) ancilla qubits)? Could we prove—unconditionally, with today’s technology—that exponentially many gates are needed to implement some n-qubit unitary U? Generalizations of the Natural Proofs barrier? ...
Electronic Structure Theory
... § Full account of electronic correlations § Allows model and calculations beyond Born–Oppenheimer approximation, i.e., potential energy surface (PES) § Accepting the challenge of ...
... § Full account of electronic correlations § Allows model and calculations beyond Born–Oppenheimer approximation, i.e., potential energy surface (PES) § Accepting the challenge of ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).