How long does it take until a quantum system
... Hawking’s results on evaporating black holes are only plausible as long as the semiclassical approach is valid. This seems to be not the case near the singularity, where a more fundamental modification of the classical theory due to quantum effects is expected to occur. If the semi-classical approxi ...
... Hawking’s results on evaporating black holes are only plausible as long as the semiclassical approach is valid. This seems to be not the case near the singularity, where a more fundamental modification of the classical theory due to quantum effects is expected to occur. If the semi-classical approxi ...
Unconditionally Secure Quantum Signatures
... are transferable, except with negligible probability. Recently, Swanson and Stinson [17] produced a formal description of the security requirements of “classical” unconditionally secure signature schemes (described in Section 3). These definitions can be adapted to quantum signature schemes [18] (de ...
... are transferable, except with negligible probability. Recently, Swanson and Stinson [17] produced a formal description of the security requirements of “classical” unconditionally secure signature schemes (described in Section 3). These definitions can be adapted to quantum signature schemes [18] (de ...
Toward an Understanding of Parochial Observables
... Quantizing a classical theory involves two steps: first, one isolates from the observables of the ...
... Quantizing a classical theory involves two steps: first, one isolates from the observables of the ...
Destructive quantum interference in spin tunneling problems
... and analytically continuing to imaginary time (t → −iτ ); the leading contribution can be found using the method of steepest descent [2]. The phase of the tunneling amplitude depends on a topological phase [3]. In this Letter we point out that when there are several different symmetry-related tunnel ...
... and analytically continuing to imaginary time (t → −iτ ); the leading contribution can be found using the method of steepest descent [2]. The phase of the tunneling amplitude depends on a topological phase [3]. In this Letter we point out that when there are several different symmetry-related tunnel ...
From Quantum Gates to Quantum Learning
... – Measurement also makes X the new state and so interferes with computational processes – X is determined with some probability, implying uncertainty in the result ...
... – Measurement also makes X the new state and so interferes with computational processes – X is determined with some probability, implying uncertainty in the result ...
A theory of concepts and their combinations I
... time. In Aerts and Aerts (1994) the structure of decision processes in an opinion pole was investigated, and it is shown that the presence of contextual influence gives rise to a nonclassical probability model, specifically one that does not satisfy Kolmogorov’s axioms for classical probability theo ...
... time. In Aerts and Aerts (1994) the structure of decision processes in an opinion pole was investigated, and it is shown that the presence of contextual influence gives rise to a nonclassical probability model, specifically one that does not satisfy Kolmogorov’s axioms for classical probability theo ...
Quantum Information Meets Quantum Matter
... as fractional quantum Hall states and spin liquid states), which include fractional charge, fractional statistics, protected gapless boundary excitations, emergence of gauge theory and Fermi statistics from purely bosonic systems, etc. The connection between quantum information science and condensed ...
... as fractional quantum Hall states and spin liquid states), which include fractional charge, fractional statistics, protected gapless boundary excitations, emergence of gauge theory and Fermi statistics from purely bosonic systems, etc. The connection between quantum information science and condensed ...
Solving the quantum many-body problem via
... generally require the knowledge of the full quantum manybody wavefunction. This necessitates an exponentially large amount of information to be encoded and simulated using the many-body Schrödinger equation. In an equivalent (second-quantised) quantum field theory formulation, the fundamental under ...
... generally require the knowledge of the full quantum manybody wavefunction. This necessitates an exponentially large amount of information to be encoded and simulated using the many-body Schrödinger equation. In an equivalent (second-quantised) quantum field theory formulation, the fundamental under ...
Anatomy of quantum chaotic eigenstates
... of rigour in the results varies from mathematical proofs to heuristics, generally supported by numerical experiments. The necessary selection of results reflects my personal view or knowledge of the subject, it omits several important developments, and is more “historical” than sharply up-to-date. T ...
... of rigour in the results varies from mathematical proofs to heuristics, generally supported by numerical experiments. The necessary selection of results reflects my personal view or knowledge of the subject, it omits several important developments, and is more “historical” than sharply up-to-date. T ...
Quantum Computation: Theory and Implementation
... in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Physics and to the Department of Electrical Engineering and Computer Science in Partial Fulfillment of the Requirements for the Degrees of Bachelor of Science in Electrical Engineering and Computer Science and Master ...
... in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Physics and to the Department of Electrical Engineering and Computer Science in Partial Fulfillment of the Requirements for the Degrees of Bachelor of Science in Electrical Engineering and Computer Science and Master ...
Topology and geometry in a quantum condensed matter system
... many-body states of matter may be used to describe the subclass of states that can be described by the band theory of solids. The shape of the band structure and how the energy bands are knotted defines topological invariants characterizing different equivalence classes of knotted spectra, that can ...
... many-body states of matter may be used to describe the subclass of states that can be described by the band theory of solids. The shape of the band structure and how the energy bands are knotted defines topological invariants characterizing different equivalence classes of knotted spectra, that can ...
Preparing topologically ordered states by Hamiltonian
... To use topologically ordered systems as quantum memories and for fault-tolerant quantum computation, concrete procedures for the preparation of specific ground states are required. Such mechanisms depend on the model Hamiltonian which is being realized as well as on the particular experimental reali ...
... To use topologically ordered systems as quantum memories and for fault-tolerant quantum computation, concrete procedures for the preparation of specific ground states are required. Such mechanisms depend on the model Hamiltonian which is being realized as well as on the particular experimental reali ...
The statistical interpretation according to Born and Heisenberg
... interpretation we shall find in Born and Heisenberg’s Solvay report. For instance, the requirement that the state of an isolated system be always a stationary state is unfamiliar, to say the least. (As we shall see, it is eventually relaxed in Born and Heisenberg’s report.) For now let us focus on ...
... interpretation we shall find in Born and Heisenberg’s Solvay report. For instance, the requirement that the state of an isolated system be always a stationary state is unfamiliar, to say the least. (As we shall see, it is eventually relaxed in Born and Heisenberg’s report.) For now let us focus on ...
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... e.g., Tannor [46] and Lubich [29]). A Gaussian wave packet is a particular form of wave function whose motion is governed by a trajectory of a classical “particle”; hence it provides an explicit connection between classical and quantum dynamics by placing “(quantum mechanical) wave flesh on classica ...
... e.g., Tannor [46] and Lubich [29]). A Gaussian wave packet is a particular form of wave function whose motion is governed by a trajectory of a classical “particle”; hence it provides an explicit connection between classical and quantum dynamics by placing “(quantum mechanical) wave flesh on classica ...
Chapter 1 Similarity Judgments: From Classical to Complex Vector
... structure, thus sometimes making it hard to identify their key distinguishing characteristics. Consideration of these previous theoretical approaches motivates our own proposal for a new approach, based on quantum theory. 1.4.1. Extensions of the geometric model Let us first repeat the point that si ...
... structure, thus sometimes making it hard to identify their key distinguishing characteristics. Consideration of these previous theoretical approaches motivates our own proposal for a new approach, based on quantum theory. 1.4.1. Extensions of the geometric model Let us first repeat the point that si ...
