Direct Measurement of Topological Numbers with
... Topological numbers were first introduced by Dirac to justify the quantization of electric charge [1], and later developed into a theory of magnetic monopoles as topological defects of a gauge field [2]. An amazing fact is that fundamental quantized entities may be deduced from a continuum theory [3 ...
... Topological numbers were first introduced by Dirac to justify the quantization of electric charge [1], and later developed into a theory of magnetic monopoles as topological defects of a gauge field [2]. An amazing fact is that fundamental quantized entities may be deduced from a continuum theory [3 ...
Algebraic Quantum Field Theory on Curved Spacetimes
... Definition 2.1 A Cauchy surface is a closed achronal set Σ ⊂ M with D(Σ, M) = M. A spacetime (M, g) is called globally hyperbolic if it contains a Cauchy surface. Although the geometric intuition sourced by our knowledge of Minkowski spacetime can fail us in general Lorentzian spacetimes, it is esse ...
... Definition 2.1 A Cauchy surface is a closed achronal set Σ ⊂ M with D(Σ, M) = M. A spacetime (M, g) is called globally hyperbolic if it contains a Cauchy surface. Although the geometric intuition sourced by our knowledge of Minkowski spacetime can fail us in general Lorentzian spacetimes, it is esse ...
The CPT Theorem
... But this is only one way of interpreting formal field theories. We have so far noted that a single differential formula F determines a dynamical equation DF (Φ) = 0; but we could instead consider DF as a Lagrangian or Hamiltonian density, from which dynamical equations are to be derived. In this cas ...
... But this is only one way of interpreting formal field theories. We have so far noted that a single differential formula F determines a dynamical equation DF (Φ) = 0; but we could instead consider DF as a Lagrangian or Hamiltonian density, from which dynamical equations are to be derived. In this cas ...
NUCLEAR-ELECTRON COUPLING IN GAAS SPIN STATES AND
... The setting and author of the first thoughts on quantum computing are hard to nail down exactly, but it is clear that interest was focused on the subject in 1981 when Richard Feynman spoke in a computing seminar at MIT. Here he articulated the sad fact that we will never be able to effectively model ...
... The setting and author of the first thoughts on quantum computing are hard to nail down exactly, but it is clear that interest was focused on the subject in 1981 when Richard Feynman spoke in a computing seminar at MIT. Here he articulated the sad fact that we will never be able to effectively model ...
Quantum Dynamical Systems
... KMS states appear naturally in the modular structure associated with faithful normal states (or more generally semi-finite weight) on von Neumann algebras. They are thus intimately connected with their mathematical structure. This tight relation between dynamics and the structure of the observable a ...
... KMS states appear naturally in the modular structure associated with faithful normal states (or more generally semi-finite weight) on von Neumann algebras. They are thus intimately connected with their mathematical structure. This tight relation between dynamics and the structure of the observable a ...
Correlaciones en Mecánica Cuántica
... Entanglement [1, 2] is perhaps the kind of quantum correlations more known and studied and since it was first described by Einstein, Podolsky and Rosen [3] has attracted the attention and interest of scientists being studied both theoretically [4—9] and experimentally [10—15], becoming considered a ...
... Entanglement [1, 2] is perhaps the kind of quantum correlations more known and studied and since it was first described by Einstein, Podolsky and Rosen [3] has attracted the attention and interest of scientists being studied both theoretically [4—9] and experimentally [10—15], becoming considered a ...
Chapter 3. Foundations of Quantum Theory II
... how do we describe the evolution of A alone? In effect, we have already answered this question in our discussion of generalized measurements. If system A starts out in a pure state |ψi (unentangled with B), and then interacts with B, the joint state of AB has the form eq.(3.23); the resulting densit ...
... how do we describe the evolution of A alone? In effect, we have already answered this question in our discussion of generalized measurements. If system A starts out in a pure state |ψi (unentangled with B), and then interacts with B, the joint state of AB has the form eq.(3.23); the resulting densit ...
Time-Space Efficient Simulations of Quantum Computations
... random access to the input and memory. This makes the lower bounds more meaningful as they do not exploit artifacts due to sequential access. Extending the standard quantum Turing machine model [8] to accommodate random access leads to complications that make the model inconvenient to work with. In ...
... random access to the input and memory. This makes the lower bounds more meaningful as they do not exploit artifacts due to sequential access. Extending the standard quantum Turing machine model [8] to accommodate random access leads to complications that make the model inconvenient to work with. In ...
Extending J Walking to Quantum Systems
... computation. The external distribution scheme, on the other hand, had only a modest overhead in computation (mostly the time required to generatethe distribution), but demandedlarge storagefacilities to handle the distribution arrays. Becauseof the additional computational overhead inherent in the F ...
... computation. The external distribution scheme, on the other hand, had only a modest overhead in computation (mostly the time required to generatethe distribution), but demandedlarge storagefacilities to handle the distribution arrays. Becauseof the additional computational overhead inherent in the F ...
Reducing multi-photon rates in pulsed down
... naturally entangled in energy and momentum, demanding special techniques to tailor their joint correlations and avoid heralding single-photons into mixed states [17, 18, 19, 20]. Second, since the process is spontaneous, there is a probability of emitting more than a single photon into the same spat ...
... naturally entangled in energy and momentum, demanding special techniques to tailor their joint correlations and avoid heralding single-photons into mixed states [17, 18, 19, 20]. Second, since the process is spontaneous, there is a probability of emitting more than a single photon into the same spat ...
Simulating the transverse Ising model on a quantum computer: Error... with the surface code ), Hao You (
... outwards where more logical qubits are located. (b) Representation of Z stabilizer Ẑ1234 = Ẑ1 Ẑ2 Ẑ3 Ẑ4 in the surface code (left) and quantum circuit (right) for one surface code cycle for measurement of Ẑ1234 . The Z stabilizer is indicated by a star in green. Data qubits 1, 2, 3, and 4 are l ...
... outwards where more logical qubits are located. (b) Representation of Z stabilizer Ẑ1234 = Ẑ1 Ẑ2 Ẑ3 Ẑ4 in the surface code (left) and quantum circuit (right) for one surface code cycle for measurement of Ẑ1234 . The Z stabilizer is indicated by a star in green. Data qubits 1, 2, 3, and 4 are l ...
Evaluation, Hybridization and Application of Quantum Inspired
... minimum cost paths on a graph and data clustering. Many collective robotic systems are inspired by the collective behaviour of the ant colonies [KJ 2001]. Particle Swarm Optimization algorithm has demonstrated good performance on bench marking problems and optimal design of other natural computing t ...
... minimum cost paths on a graph and data clustering. Many collective robotic systems are inspired by the collective behaviour of the ant colonies [KJ 2001]. Particle Swarm Optimization algorithm has demonstrated good performance on bench marking problems and optimal design of other natural computing t ...
Quantum Mechanical Operators and Commutation C I. Bra
... to preparing only eigenstates. Just as one can 'pluck' a violin string or 'pound' a drum head in any manner, experiments can prepare a system in states that are not pure eigenfunctions (i.e., states that do not contain just one eigenfunction in their expansion). However, no matter how the state is p ...
... to preparing only eigenstates. Just as one can 'pluck' a violin string or 'pound' a drum head in any manner, experiments can prepare a system in states that are not pure eigenfunctions (i.e., states that do not contain just one eigenfunction in their expansion). However, no matter how the state is p ...
Spectral And Dynamical Properties Of Strongly Correlated Systems
... In this Thesis relevant steps in both directions have been undertaken. As for the advancement of existing approximations, we have introduced a scheme to systematically improve upon the so-called fixed-node approximation by means of the Hamiltonian moments.[30] Whereas, as for the introduction of nov ...
... In this Thesis relevant steps in both directions have been undertaken. As for the advancement of existing approximations, we have introduced a scheme to systematically improve upon the so-called fixed-node approximation by means of the Hamiltonian moments.[30] Whereas, as for the introduction of nov ...
ESF 12p MISGAM_ok3.qxd - European Science Foundation
... means of a celebrated nonlinear differential equation which is shown to have soliton solutions and has many of the features similar to those of the 18th century integrable mechanical problems. In the late 1960s it was discovered that the Schrödinger equation whose potential is given by a solution of ...
... means of a celebrated nonlinear differential equation which is shown to have soliton solutions and has many of the features similar to those of the 18th century integrable mechanical problems. In the late 1960s it was discovered that the Schrödinger equation whose potential is given by a solution of ...
Single-Photon Bus between Spin-Wave Quantum Memories.
... contrast; however, the reduction in our experiment falls within the statistical error. Owing to imperfect single-magnon generation and magnon loss, our state also contains the two-magnon component |1iA |1iB and the vacuum component |0iA |0iB , the combination of which may spoil the entanglement inhe ...
... contrast; however, the reduction in our experiment falls within the statistical error. Owing to imperfect single-magnon generation and magnon loss, our state also contains the two-magnon component |1iA |1iB and the vacuum component |0iA |0iB , the combination of which may spoil the entanglement inhe ...