Invitation to Local Quantum Physics
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
Is the quantum mechanical description of physical reality complete
... EPR argument as described by Einstein? Excerpts from Einstein’s letter to Popper “Should we regard the wave-function whose time dependent changes are, according to Schrödinger equation, deterministic, as a complete description of physical reality,…? The answer at which we arrive is the wave-functio ...
... EPR argument as described by Einstein? Excerpts from Einstein’s letter to Popper “Should we regard the wave-function whose time dependent changes are, according to Schrödinger equation, deterministic, as a complete description of physical reality,…? The answer at which we arrive is the wave-functio ...
The Quantum World
... electron can be conceived, so to speak, as just a midget brother of everyday things. Of course, philosophers can dispute the reality of the table and the cow too, but common sense is inclined to feel that that is a tiresomely perverse attitude to take to experience. Heisenberg abolished such cosy pi ...
... electron can be conceived, so to speak, as just a midget brother of everyday things. Of course, philosophers can dispute the reality of the table and the cow too, but common sense is inclined to feel that that is a tiresomely perverse attitude to take to experience. Heisenberg abolished such cosy pi ...
Combinatorics and Boson normal ordering: A gentle introduction
... Hilbert space constitutes the arena where quantum phenomena can be described. One common realization is Fock space, which is generated by the set of orthonormal vectors |ni representing states with a specified numbers of particles or objects. A particular role in this description is played by the cr ...
... Hilbert space constitutes the arena where quantum phenomena can be described. One common realization is Fock space, which is generated by the set of orthonormal vectors |ni representing states with a specified numbers of particles or objects. A particular role in this description is played by the cr ...
Derivation of the Lindblad Equation for Open Quantum Systems and
... Prisoner’s Dilemma. The stabilized solution will lead the density operator to an equilibrium state, which is regarded as the action of termination of the comparison process for a decision maker. The resulting pure stategy is approached probabilistically by performing a quantum measurement. Moreover, ...
... Prisoner’s Dilemma. The stabilized solution will lead the density operator to an equilibrium state, which is regarded as the action of termination of the comparison process for a decision maker. The resulting pure stategy is approached probabilistically by performing a quantum measurement. Moreover, ...
Geometric phases and cyclic isotropic cosmologies
... In what follows, we will assume also that our potential can be approximated by step functions. In particular, we would like to treat the effective potential ω(k) as a a 2-valued function, as in the Konig-Penney approximation for electrons on a Bloch lattice. In the standard case of a scalar field in ...
... In what follows, we will assume also that our potential can be approximated by step functions. In particular, we would like to treat the effective potential ω(k) as a a 2-valued function, as in the Konig-Penney approximation for electrons on a Bloch lattice. In the standard case of a scalar field in ...
Seeing a single photon without destroying it
... Light detection is usually a destructive process, in that detectors annihilate photons and convert them into electrical signals, making it impossible to see a single photon twice. But this limitation is not fundamentalÐquantum non-demolition strategies1±3 permit repeated measurements of physically o ...
... Light detection is usually a destructive process, in that detectors annihilate photons and convert them into electrical signals, making it impossible to see a single photon twice. But this limitation is not fundamentalÐquantum non-demolition strategies1±3 permit repeated measurements of physically o ...
Experimental Creation and Measurement of Motional Quantum
... II. Interaction of a trapped atom with light elds To describe the interaction of the trapped atom with light elds we make the following assumptions, which will be justi ed below. First we assume that the internal degrees of freedom of the trapped atom are suf ciently described by a two-level syste ...
... II. Interaction of a trapped atom with light elds To describe the interaction of the trapped atom with light elds we make the following assumptions, which will be justi ed below. First we assume that the internal degrees of freedom of the trapped atom are suf ciently described by a two-level syste ...
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).