Another version - Scott Aaronson
... Intuition: If Range(f) and Range(g) are disjoint, then the H register decoheres all entanglement between R and B, leaving only classical correlation If, on the other hand, Range(f)=Range(g), then there’s some permutation of the |x,1R states that puts the last qubit of R into an EPR pair with B Thus ...
... Intuition: If Range(f) and Range(g) are disjoint, then the H register decoheres all entanglement between R and B, leaving only classical correlation If, on the other hand, Range(f)=Range(g), then there’s some permutation of the |x,1R states that puts the last qubit of R into an EPR pair with B Thus ...
Chemistry Science Notebook
... List the three reasons scientists found Rutherford’s nuclear atomic model to be fundamentally incomplete. ...
... List the three reasons scientists found Rutherford’s nuclear atomic model to be fundamentally incomplete. ...
Quantum Correlations, Information and Entropy
... Schrödinger coined the term entanglement in 1935 ...
... Schrödinger coined the term entanglement in 1935 ...
quantum computing
... while two classical bits can store one of four bits. • In general if L is the number of qubits in a quantum register, that register can store 2^L different states simultaneously. • Classical registers store only one state. ...
... while two classical bits can store one of four bits. • In general if L is the number of qubits in a quantum register, that register can store 2^L different states simultaneously. • Classical registers store only one state. ...
Single Photon Polarization
... 2. If it is head she decides to encode using a horizontal/verical basis. If it is a tail, she encodes in 45/135 basis. 3. Each bit is encoded as 0 or 1 in the chosen basis. 4. Bob receives each bit and does not know the basis used to encode. He also tosses a coin and decides to decode using the basi ...
... 2. If it is head she decides to encode using a horizontal/verical basis. If it is a tail, she encodes in 45/135 basis. 3. Each bit is encoded as 0 or 1 in the chosen basis. 4. Bob receives each bit and does not know the basis used to encode. He also tosses a coin and decides to decode using the basi ...
Theoretical Nonlinear and Quantum Optics Ray
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * rklee@mx.nthu.edu.tw Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * rklee@mx.nthu.edu.tw Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
Holonomic quantum computation with neutral atoms
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
Document
... in a Hilbert space can always be written as a pure state in a higher dimension Hilbert space Such that e.g., for the mixed state ...
... in a Hilbert space can always be written as a pure state in a higher dimension Hilbert space Such that e.g., for the mixed state ...
The principal quantum number (n) cannot be zero. The allowed
... electrons in the atom. The only information that was important was the size of the orbit, which was described by the n quantum number. Schrödinger's model allowed the electron to occupy three-dimensional space. It therefore required three coordinates, or three quantum numbers, to describe the orbita ...
... electrons in the atom. The only information that was important was the size of the orbit, which was described by the n quantum number. Schrödinger's model allowed the electron to occupy three-dimensional space. It therefore required three coordinates, or three quantum numbers, to describe the orbita ...
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).