Almost all decoherence models lead to shot noise scaling in
... • Heisenberg scaling is lost for a generic decoherence channel even for infinitesimal noise • Simple bounds on precision can be derived using the classical simulation idea • Channels for which classical simulation does not work ( extremal channels) have less Kraus operators, other methods easier to ...
... • Heisenberg scaling is lost for a generic decoherence channel even for infinitesimal noise • Simple bounds on precision can be derived using the classical simulation idea • Channels for which classical simulation does not work ( extremal channels) have less Kraus operators, other methods easier to ...
3.2 Conserved Properties/Constants of Motion
... only the phase changes as a function of time. A successive measurement will find always the same Eigenvalue. The energy and the expectation value of the operator A are thus always measurable at the same time. The state of as system is defined completely if all expectation values of those operators a ...
... only the phase changes as a function of time. A successive measurement will find always the same Eigenvalue. The energy and the expectation value of the operator A are thus always measurable at the same time. The state of as system is defined completely if all expectation values of those operators a ...
Pulsed Energy-Time Entangled Twin
... undistinguished [19]. In our case, such an optimal linear analyzer is straightforward to implement: a 50% beam splitter and two detectors suffice. Indeed, consider first the case of an input state in the space spanned by the f 6 states; then both photons arrive simultaneously at one of the detectors ...
... undistinguished [19]. In our case, such an optimal linear analyzer is straightforward to implement: a 50% beam splitter and two detectors suffice. Indeed, consider first the case of an input state in the space spanned by the f 6 states; then both photons arrive simultaneously at one of the detectors ...
Forays into Relativistic Quantum Information Science:
... Conceptual/consistency issues: e.g. LOCC (local operation and classical communication) is often invoked (e.g. in quantum teleportation) in non-relativistic QIS, but quantum-classical interface not sharply defined. Bell Inequality violation: => Not compatible with local, non-superluminal hidden vari ...
... Conceptual/consistency issues: e.g. LOCC (local operation and classical communication) is often invoked (e.g. in quantum teleportation) in non-relativistic QIS, but quantum-classical interface not sharply defined. Bell Inequality violation: => Not compatible with local, non-superluminal hidden vari ...
The exotic world of quantum matter
... • Interacting quantum many-body systems (electrons, atoms, ..) condense into ordered states featuring spontaneous symmetry breaking and supporting a zoo of new “quasiparticles”. The search for new types of order in new (artificially synthesized) materials with novel properties not encountered in nat ...
... • Interacting quantum many-body systems (electrons, atoms, ..) condense into ordered states featuring spontaneous symmetry breaking and supporting a zoo of new “quasiparticles”. The search for new types of order in new (artificially synthesized) materials with novel properties not encountered in nat ...
koutofn
... Recovering all of the n original bits is ‘clearly’ impossible • The best success probability is obtained by storing, say, the first n/8 bits and is only 2-(n) n/8 ...
... Recovering all of the n original bits is ‘clearly’ impossible • The best success probability is obtained by storing, say, the first n/8 bits and is only 2-(n) n/8 ...
Security of Quantum Bit String Commitment Depends on the
... hidden from Bob until she decides to reveal x. To convince Bob that she made up her mind, Alice sends Bob a commitment. From the commitment alone, Bob cannot deduce x. At a later time, Alice reveals x and enables Bob to open the commitment. Bob can now check if Alice is telling the truth. This scena ...
... hidden from Bob until she decides to reveal x. To convince Bob that she made up her mind, Alice sends Bob a commitment. From the commitment alone, Bob cannot deduce x. At a later time, Alice reveals x and enables Bob to open the commitment. Bob can now check if Alice is telling the truth. This scena ...
Quantum Numbers (6.5-9)
... 2s orbital is not degenerate (e.g., the same energy) with a 2p or a 1s orbital. The ml values are entirely dependent on the l values; each type of orbital has a set degeneracy. For an s-orbital, ml = 0, and degeneracy = 1. For a p-orbital, ml = -1, 0, +1, and degeneracy = 3. For a d-orbital, ml = -2 ...
... 2s orbital is not degenerate (e.g., the same energy) with a 2p or a 1s orbital. The ml values are entirely dependent on the l values; each type of orbital has a set degeneracy. For an s-orbital, ml = 0, and degeneracy = 1. For a p-orbital, ml = -1, 0, +1, and degeneracy = 3. For a d-orbital, ml = -2 ...
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).