Implementing and Characterizing Precise Multiqubit Measurements
... implemented in a variety of architectures. Impressively, measurements of three- and four-qubit properties have been demonstrated in superconducting and ionic systems [18–21]. Quantification of these measurements has generally consisted of measurements of simple eigenstates of the intended measuremen ...
... implemented in a variety of architectures. Impressively, measurements of three- and four-qubit properties have been demonstrated in superconducting and ionic systems [18–21]. Quantification of these measurements has generally consisted of measurements of simple eigenstates of the intended measuremen ...
Complexity of one-dimensional spin chains
... states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct history state as the ground state of the Hamiltonian. ...
... states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive energy. • States which have the right structure and n qubits: The transition rules and boundary conditions select only a correct history state as the ground state of the Hamiltonian. ...
pdf file - UTEP Computer Science
... we expect to see 2n2 = 18 elements on this level, but in reality, electrons add smoothly to the third level only until we reach Ar (Z = 18). Then, for K (Z = 19), instead of further filling the third level, electrons start filling level n = 4, and only returns to the third level later. Bohr’s heuristi ...
... we expect to see 2n2 = 18 elements on this level, but in reality, electrons add smoothly to the third level only until we reach Ar (Z = 18). Then, for K (Z = 19), instead of further filling the third level, electrons start filling level n = 4, and only returns to the third level later. Bohr’s heuristi ...
Probability distributions in classical and quantum
... a connection between classical and quantum mechanics, we compare the probability distributions to show that both approach each other as the energy increases. Our results are compared with respect to known literature of elliptic billiards (see Refs. 6-9, and 11, and references therein). This work is ...
... a connection between classical and quantum mechanics, we compare the probability distributions to show that both approach each other as the energy increases. Our results are compared with respect to known literature of elliptic billiards (see Refs. 6-9, and 11, and references therein). This work is ...
Quantum Field Theory on Curved Backgrounds. II
... the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show that the self-adjoint semigroups thus constructed can be analytically continued to one-parameter unitary groups, and using this analytic continuation we construct a unitary ...
... the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show that the self-adjoint semigroups thus constructed can be analytically continued to one-parameter unitary groups, and using this analytic continuation we construct a unitary ...
topological phase transitions and topological
... paradox by showing that there is indeed a finite temperature phase transition, but of a new and unexpected nature where the vortex configurations play an essential role. One year before the work of Kosterlitz and Thouless, Vadim Berezinskii (died in 1980) also recognized the importance of vortex exc ...
... paradox by showing that there is indeed a finite temperature phase transition, but of a new and unexpected nature where the vortex configurations play an essential role. One year before the work of Kosterlitz and Thouless, Vadim Berezinskii (died in 1980) also recognized the importance of vortex exc ...
The Learnability of Quantum States
... Now, how many times will we need to repeat this adaptive procedure before, given E1 , . . . , Er drawn as above, we can estimate (with high probability) the conditional probability that f (z1 , . . . , zr ) = 1? If we simply apply Theorem 1.1 to the tensor product of all r registers, then it is eas ...
... Now, how many times will we need to repeat this adaptive procedure before, given E1 , . . . , Er drawn as above, we can estimate (with high probability) the conditional probability that f (z1 , . . . , zr ) = 1? If we simply apply Theorem 1.1 to the tensor product of all r registers, then it is eas ...
Elementary particles and typical scales in HEP
... Shortcomings of SM • Gravity? 1. Contains about 20 parameters. For example the ration of the mass of the muon and the mass of the electron is 207, which has to be taken by hand. 2. It does not include gravity. The effects of the gravity are quite negligible in PP, however they are crucial in cosmol ...
... Shortcomings of SM • Gravity? 1. Contains about 20 parameters. For example the ration of the mass of the muon and the mass of the electron is 207, which has to be taken by hand. 2. It does not include gravity. The effects of the gravity are quite negligible in PP, however they are crucial in cosmol ...
Operator Imprecision and Scaling of Shor’s Algorithm
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
A strong hybrid couple
... then prepared the atom in a quantum-mechanical superposition of presence and absence states. Together with the conditional phase shift, this superposition state allowed them to implement a quantum logic gate — the basic building block of quantum computation — between the atom and the photon. Such a ...
... then prepared the atom in a quantum-mechanical superposition of presence and absence states. Together with the conditional phase shift, this superposition state allowed them to implement a quantum logic gate — the basic building block of quantum computation — between the atom and the photon. Such a ...
with x
... If one of the slits in a double slit experiment is closed one sees only a diffraction pattern from a single slit (P1). If the other slit is opened and the first one closed, one sees only the diffraction pattern from the other slit (P2). If both are opened, one does not simply see the sum of P1 and P ...
... If one of the slits in a double slit experiment is closed one sees only a diffraction pattern from a single slit (P1). If the other slit is opened and the first one closed, one sees only the diffraction pattern from the other slit (P2). If both are opened, one does not simply see the sum of P1 and P ...
Analysis of a Quantum Error Correcting Code using Quantum
... based on the branching bisimilarity of van Glabbeek and Weijland [16], but it was not preserved by parallel composition. Feng et al. [3] developed qCCS and defined strong and weak probabilistic bisimilarity. Their equivalences are preserved by parallel composition with processes that do not change t ...
... based on the branching bisimilarity of van Glabbeek and Weijland [16], but it was not preserved by parallel composition. Feng et al. [3] developed qCCS and defined strong and weak probabilistic bisimilarity. Their equivalences are preserved by parallel composition with processes that do not change t ...
High-Performance Computing and Quantum Processing - HPC-UA
... where tseries and tparallel are the averaged times to perform series and parallel processing will all related tasks and operations; NP is the number of processors; rseries and rparallel are the series (not parallelizable) and parallelizable ratios. The speed-up measure Mspeed depends on the degree o ...
... where tseries and tparallel are the averaged times to perform series and parallel processing will all related tasks and operations; NP is the number of processors; rseries and rparallel are the series (not parallelizable) and parallelizable ratios. The speed-up measure Mspeed depends on the degree o ...
Notes for Class Meeting 19: Uncertainty
... uncertainty in the momentum in that direction that enters the uncertainty principle. For example, there need not be any inherent uncertainty between the position in the x direction and the momentum in the y direction. (2) The value ! / 2 is the absolute minimum uncertainty and only occurs in one spe ...
... uncertainty in the momentum in that direction that enters the uncertainty principle. For example, there need not be any inherent uncertainty between the position in the x direction and the momentum in the y direction. (2) The value ! / 2 is the absolute minimum uncertainty and only occurs in one spe ...
Primitive ontology and quantum state in the GRW matter density theory
... However, whereas mass and charge can be considered as properties that the primitive stuff has at points of space, the quantum state cannot be treated as such a property. The reason is quantum entanglement. Strictly speaking, there is only one entangled, universal quantum state for the whole configur ...
... However, whereas mass and charge can be considered as properties that the primitive stuff has at points of space, the quantum state cannot be treated as such a property. The reason is quantum entanglement. Strictly speaking, there is only one entangled, universal quantum state for the whole configur ...
r2 - SIUE
... In this and the remaining chapters, we address a few traditional philosophical issues in the light of quantum mechanics. The problems raised are complex, and for this reason the discussion is not only more introductory than usual but also often centered on the orthodox interpretation. However, it sh ...
... In this and the remaining chapters, we address a few traditional philosophical issues in the light of quantum mechanics. The problems raised are complex, and for this reason the discussion is not only more introductory than usual but also often centered on the orthodox interpretation. However, it sh ...