The Quantum Error Correcting Criteria
... Well first look at the δij . This implies that orthogonal codewords after the error El to the codewords after the error Ek . If l = k this implies that the code words are not distorted by the effect of error Ek . They may be rotated, but the inner product between all codewords will be the same befor ...
... Well first look at the δij . This implies that orthogonal codewords after the error El to the codewords after the error Ek . If l = k this implies that the code words are not distorted by the effect of error Ek . They may be rotated, but the inner product between all codewords will be the same befor ...
Lecture 7 - United International College
... order of atomic weight was problematic. • The atomic weight of the gas argon, which does not react readily with other elements, would place it in the same group as the chemically very active solids lithium and sodium. • In 1913 British physicist Henry Moseley confirmed earlier suggestions that an el ...
... order of atomic weight was problematic. • The atomic weight of the gas argon, which does not react readily with other elements, would place it in the same group as the chemically very active solids lithium and sodium. • In 1913 British physicist Henry Moseley confirmed earlier suggestions that an el ...
Lecture 7 - TTU Physics
... E ≡ - μH • This additional information limits the states which are accessible to the system. • From the table, there are clearly only 3 states which ...
... E ≡ - μH • This additional information limits the states which are accessible to the system. • From the table, there are clearly only 3 states which ...
Photonic realization of nonlocal memory effects and non
... the decoherence and the flow of information between an open quantum system and its environment has recently allowed, e.g., to drive quantum computation by dissipation [1], to control entanglement and quantum phases in many-body systems [2–4], to create an open system quantum simulator [5], and to co ...
... the decoherence and the flow of information between an open quantum system and its environment has recently allowed, e.g., to drive quantum computation by dissipation [1], to control entanglement and quantum phases in many-body systems [2–4], to create an open system quantum simulator [5], and to co ...
Entanglement and its Role in Shor`s Algorithm
... In fig. 2 we plot the entanglement in Shor’s algorithm using the entropy of the subsystem where possible (full state is pure) and the negativity where the single register state is mixed. The negativity turns out to be zero for both registers throughout the algorithm (except the measurement leaves th ...
... In fig. 2 we plot the entanglement in Shor’s algorithm using the entropy of the subsystem where possible (full state is pure) and the negativity where the single register state is mixed. The negativity turns out to be zero for both registers throughout the algorithm (except the measurement leaves th ...
CHEM3023: Spins, Atoms and Molecules
... • Is a fundamental law of nature: It can not be proved, but we know it works. Newton's second law of motion (F=m a) is another example of a law of nature. • Applies at the microscopic scale: electrons, atoms, molecules, etc. • What information can it provide? Every property that can be measured expe ...
... • Is a fundamental law of nature: It can not be proved, but we know it works. Newton's second law of motion (F=m a) is another example of a law of nature. • Applies at the microscopic scale: electrons, atoms, molecules, etc. • What information can it provide? Every property that can be measured expe ...
Quantum Numbers and Orbitals
... suggestions) For example what would the quantum numbers (n,l) be for an orbital called 2s, 3p, 5f? (Done alone in class for a few minutes then open up for discussion) Answers: n=2 and l=0, n=3 and l=1, n=5 and l=3 Magnetic Quantum Number (ml) This has values that range from l to -l (this includes ...
... suggestions) For example what would the quantum numbers (n,l) be for an orbital called 2s, 3p, 5f? (Done alone in class for a few minutes then open up for discussion) Answers: n=2 and l=0, n=3 and l=1, n=5 and l=3 Magnetic Quantum Number (ml) This has values that range from l to -l (this includes ...
Decoherence Versus Disentanglement For Two Qubits In A
... X Y ≥ ¼, A squeezed state of the radiation field is obtained if (Xi)2 < ¼, (i =X o Y) An ideal squeezed state is obtained if in addition to above eq. the relation X Y= ¼, also holds. ...
... X Y ≥ ¼, A squeezed state of the radiation field is obtained if (Xi)2 < ¼, (i =X o Y) An ideal squeezed state is obtained if in addition to above eq. the relation X Y= ¼, also holds. ...
Is the moon there when nobody looks?
... correspondence with Max Born.5 Throughout the book (which sometimes reads like a Nabokov novel), Born, pained by Einstein’s distaste for the statistical character of the quantum theory, repeatedly fails, both in his letters and in his later commentary on the correspondence, to understand what is rea ...
... correspondence with Max Born.5 Throughout the book (which sometimes reads like a Nabokov novel), Born, pained by Einstein’s distaste for the statistical character of the quantum theory, repeatedly fails, both in his letters and in his later commentary on the correspondence, to understand what is rea ...
Coupling MOS Quantum Dot and Phosphorus Donor Qubit Systems
... Si enrichment, which leads to high fidelity qubits. The longest coherence times in the solid-state have been demonstrated in electron and nuclear spins of donors in 28Si. However, direct coupling of two or more donors in Si has proven difficult to achieve. Coupling of quantum dots to one another, on ...
... Si enrichment, which leads to high fidelity qubits. The longest coherence times in the solid-state have been demonstrated in electron and nuclear spins of donors in 28Si. However, direct coupling of two or more donors in Si has proven difficult to achieve. Coupling of quantum dots to one another, on ...
Introduction to Quantum Information
... celebrated theorem that bears his name (of which more below) (Bayes 1763). His key idea was that probabilities depend on what you know; if we acquire additional information then this modifies the probabilities. Today such reasoning is uncontentious and forms part of the prevailing paradigm in much o ...
... celebrated theorem that bears his name (of which more below) (Bayes 1763). His key idea was that probabilities depend on what you know; if we acquire additional information then this modifies the probabilities. Today such reasoning is uncontentious and forms part of the prevailing paradigm in much o ...
quantum mechanics from classical statistics
... choice of M depends on observables considered restricted by maximal number of “commuting observables” ...
... choice of M depends on observables considered restricted by maximal number of “commuting observables” ...
ppt - CS Technion
... (*) “Coins Make Quantum Walks Faster”, A. Ambainis, J. Kempe and A. Rivosh, Proc. 16th ACM-SIAM SODA, p. ...
... (*) “Coins Make Quantum Walks Faster”, A. Ambainis, J. Kempe and A. Rivosh, Proc. 16th ACM-SIAM SODA, p. ...
Scattering model for quantum random walk on the hypercube
... vertex having the same number of outgoing edges). The definition on non-regular graphs is also possible, and some interesting algorithms are based on this version [12]. However, the latter version does not possess the symmetries of the former one, nor its neat tensor product structure (the unitary e ...
... vertex having the same number of outgoing edges). The definition on non-regular graphs is also possible, and some interesting algorithms are based on this version [12]. However, the latter version does not possess the symmetries of the former one, nor its neat tensor product structure (the unitary e ...
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).