Lecture 3

... Then: CNOT on q0 and q1 x=0,1 x |xi y=0,1 1/21/2|y,yi CNOT: x,y x/21/2 |x, x © y, yi Measure q1: Result is a Prob. for 0/1 is 0.5 each: |0|2/2+|1|2/2=1/2 Remaining state: yy©a |y © a , yi on q0,q2 Send a to Bob a=0 ) Bob does nothing a=1 ) Bob applies X-Gate (Bit Flip) Result in both cases: ...

... Then: CNOT on q0 and q1 x=0,1 x |xi y=0,1 1/21/2|y,yi CNOT: x,y x/21/2 |x, x © y, yi Measure q1: Result is a Prob. for 0/1 is 0.5 each: |0|2/2+|1|2/2=1/2 Remaining state: yy©a |y © a , yi on q0,q2 Send a to Bob a=0 ) Bob does nothing a=1 ) Bob applies X-Gate (Bit Flip) Result in both cases: ...

Quantum Cryptography

... of quantum mechanics, not just a passive, external process as in Classic Crypto. ...

... of quantum mechanics, not just a passive, external process as in Classic Crypto. ...

HWU4-21 QUESTION: The principal quantum number, n, describes

... The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number (ℓ), the magnetic quantum numb ...

... The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number (ℓ), the magnetic quantum numb ...

Prof. Dr. Klaus Hornberger Universitat Duisburg

... Does the quantum superposition principle hold on mesoscopic or even macroscopic scales? The tremendous success of quantum theory notwithstanding, this question remains unsettled to date. I will discuss experimental tests of the quantum superposition principle, such as matter wave interferometry with ...

... Does the quantum superposition principle hold on mesoscopic or even macroscopic scales? The tremendous success of quantum theory notwithstanding, this question remains unsettled to date. I will discuss experimental tests of the quantum superposition principle, such as matter wave interferometry with ...

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).