Quantum Computation and Quantum Information – Lecture 2
... Depending on the outcome of Alice’s measurement, Bob applies a Pauli operator to particle 3, “reincarnating” the original qubit If outcome=00, Bob uses operator I If outcome=01, Bob uses operator σx If outcome=11, Bob uses operator σy If outcome=10, Bob uses operator σz Bob’s measurement produces th ...
... Depending on the outcome of Alice’s measurement, Bob applies a Pauli operator to particle 3, “reincarnating” the original qubit If outcome=00, Bob uses operator I If outcome=01, Bob uses operator σx If outcome=11, Bob uses operator σy If outcome=10, Bob uses operator σz Bob’s measurement produces th ...
Applications of Quantum Field Theory in Condensed Matter
... BCS theory of superconductivity. The first one is the basis upon which the so called solid state physics has been built and allows a thorough understanding of metals, insulators and semiconductors. The second one is a systematic procedure for introducing interactions among the electrons and describe ...
... BCS theory of superconductivity. The first one is the basis upon which the so called solid state physics has been built and allows a thorough understanding of metals, insulators and semiconductors. The second one is a systematic procedure for introducing interactions among the electrons and describe ...
algebraic quantization and t
... have been proposed in the literature, like path-integral quantization [8, 9] and geometric quantization [10, 11], having been amended by certain cohomological techniques in [ 12] and [ 13], respectively, star (deformation) quantization [ 14], which has been reformulated as a C*-algebra theory [15], ...
... have been proposed in the literature, like path-integral quantization [8, 9] and geometric quantization [10, 11], having been amended by certain cohomological techniques in [ 12] and [ 13], respectively, star (deformation) quantization [ 14], which has been reformulated as a C*-algebra theory [15], ...
3.1 Fock spaces
... The importance of Fock space comes from the fact they give an easy realization of the CCR and CAR. They are also a natural tool for quantum field theory, second quantization... (all sorts of physical important notions that we will not develop here). The physical ideal around Fock spaces is the foll ...
... The importance of Fock space comes from the fact they give an easy realization of the CCR and CAR. They are also a natural tool for quantum field theory, second quantization... (all sorts of physical important notions that we will not develop here). The physical ideal around Fock spaces is the foll ...
What is density operator?
... operator. In orther words, for any given state in the Hilbert space there are plenty of questions one can ask to which there is no definite answer! Contrast this to the classical situation – if you know the position and momentum of a classical point particle, there’s no measurement I could perform f ...
... operator. In orther words, for any given state in the Hilbert space there are plenty of questions one can ask to which there is no definite answer! Contrast this to the classical situation – if you know the position and momentum of a classical point particle, there’s no measurement I could perform f ...
Abstracts - Departamento de Matemáticas
... singlet entangled pairs if U 6= 0. However, here the postselection is not used. Moreover, resonance structure for the singlet transition amplitude is studied as function of energy difference between the input lead and the dot single-particle state. In U = 0, there isn’t tunneling and the two-fermion ...
... singlet entangled pairs if U 6= 0. However, here the postselection is not used. Moreover, resonance structure for the singlet transition amplitude is studied as function of energy difference between the input lead and the dot single-particle state. In U = 0, there isn’t tunneling and the two-fermion ...
Tunneling Effect and Its Applications Quantum
... nucleus because of the high energy requirement to escape the very strong potential. In quantum mechanics, however, there is a probability the particle can tunnel through the potential and escape. Then the half-life of the particle becomes finite and the energy of the emission is broadened. ...
... nucleus because of the high energy requirement to escape the very strong potential. In quantum mechanics, however, there is a probability the particle can tunnel through the potential and escape. Then the half-life of the particle becomes finite and the energy of the emission is broadened. ...
Square Root of an Operator - Information Sciences and Computing
... form = ! + # , and in quantum mechanics the Laplacian operator is related to the square of the linear momentum operator, then from (4) it is natural to think that operators of the type (quadratic in $̂ )1/2 can be linearized in quantum physics. In Sections 2 and 3 we apply this idea to motivate the ...
... form = ! + # , and in quantum mechanics the Laplacian operator is related to the square of the linear momentum operator, then from (4) it is natural to think that operators of the type (quadratic in $̂ )1/2 can be linearized in quantum physics. In Sections 2 and 3 we apply this idea to motivate the ...
Quantum and classical statistics of the electromagnetic zero
... oscillation, where the velocity approaches zero, than at the center where the velocity is maximal. For this degree of excitation, the quantum probability distribution oscillates around the classical distribution, and begins to approximate it in the mean. The quantum zero-point state probability dist ...
... oscillation, where the velocity approaches zero, than at the center where the velocity is maximal. For this degree of excitation, the quantum probability distribution oscillates around the classical distribution, and begins to approximate it in the mean. The quantum zero-point state probability dist ...
Caltech Team Produces Squeezed Light Using a Silicon
... produces light with less noise than what is present in a vacuum—the standard quantum limit. "But one of the interesting things," Safavi-‐Naeini adds, "is that by carefully designing our structures, we can ...
... produces light with less noise than what is present in a vacuum—the standard quantum limit. "But one of the interesting things," Safavi-‐Naeini adds, "is that by carefully designing our structures, we can ...
CR2
... the analogue of Newton's law is Schrödinger's equation for a quantum system (usually atoms, molecules, and subatomic particles whether free, bound, or localized). It is not a simple algebraic equation, but in general a linear partial differential equation, describing the time-evolution of the system ...
... the analogue of Newton's law is Schrödinger's equation for a quantum system (usually atoms, molecules, and subatomic particles whether free, bound, or localized). It is not a simple algebraic equation, but in general a linear partial differential equation, describing the time-evolution of the system ...
Landau Levels and Quantum Group
... topological Chern-Simons theories [3] as well as in rational conformal field theories and integrable lattice models [4]. Although the abelian ChernSimons theory does not possess a quantum group structure in the literature [3], it might be possible to exhibit one in some other senses. There have been ...
... topological Chern-Simons theories [3] as well as in rational conformal field theories and integrable lattice models [4]. Although the abelian ChernSimons theory does not possess a quantum group structure in the literature [3], it might be possible to exhibit one in some other senses. There have been ...
Photon localizability - Current research interest: photon position
... The literature starts before 1930 and is sometimes confusing, in part because there are really 3 problems: 1) For any quantum particle ψ~e-iwt with +ve w= c k k and localizability is limited by FT theorems. 2) If all k's are equally weighted to localize the number probability density, then energy ...
... The literature starts before 1930 and is sometimes confusing, in part because there are really 3 problems: 1) For any quantum particle ψ~e-iwt with +ve w= c k k and localizability is limited by FT theorems. 2) If all k's are equally weighted to localize the number probability density, then energy ...
Quantum Superposition, Quantum Entanglement, and Quantum
... - Quantum states (not system) can be teleported from point A to point B - Record is Teleportation over 144 km --- Ursin et al., Nature Physics, 3(7), 481-486 (2007). ...
... - Quantum states (not system) can be teleported from point A to point B - Record is Teleportation over 144 km --- Ursin et al., Nature Physics, 3(7), 481-486 (2007). ...
How to determine a quantum state by measurements: The Pauli... with arbitrary potential
... simple question known as the Pauli problem: does the measurement of the probability densities for position and momentum of a particle determine its quantum state? Originating from a footnote in Pauli’s article in Handbuch der Physik @1#, this question has led, in a more general setting, to a number ...
... simple question known as the Pauli problem: does the measurement of the probability densities for position and momentum of a particle determine its quantum state? Originating from a footnote in Pauli’s article in Handbuch der Physik @1#, this question has led, in a more general setting, to a number ...