Connecting processing-capable quantum memories over telecommunication links via quantum frequency conversion
... into an output of a different frequency while its quantum state is preserved. It is this state-preserving feature of SFG and DFG that enables the QFC operation. To build QFC devices compatible with the quantummemory devices described in sections 3 and 4, we consider the use of planar PPLN waveguides ...
... into an output of a different frequency while its quantum state is preserved. It is this state-preserving feature of SFG and DFG that enables the QFC operation. To build QFC devices compatible with the quantummemory devices described in sections 3 and 4, we consider the use of planar PPLN waveguides ...
Hypergroups and Quantum Bessel Processes of Non
... The key idea of the extension is to replace the Heisenberg group with a hypergroup. A hypergroup is a locally compact space with a convolution product mapping each pair of points to a probability measure with compact support. The space is required to admit an involution that acts like the inverse op ...
... The key idea of the extension is to replace the Heisenberg group with a hypergroup. A hypergroup is a locally compact space with a convolution product mapping each pair of points to a probability measure with compact support. The space is required to admit an involution that acts like the inverse op ...
Quantum Computing: The Risk to Existing Encryption Methods
... computers will be capable of factoring larger ones. The current recommendation of a 2048-bit RSA number would require 4096 qubits to break.21 The danger to RSA is quite clear. The existence of fast factoring algorithms will completely invalidate any data encrypted under RSA. When encrypted traffic i ...
... computers will be capable of factoring larger ones. The current recommendation of a 2048-bit RSA number would require 4096 qubits to break.21 The danger to RSA is quite clear. The existence of fast factoring algorithms will completely invalidate any data encrypted under RSA. When encrypted traffic i ...
Lecture Notes in Statistical Mechanics and Mesoscopics Doron Cohen
... Later we shall define some other ”spectral” functions that are related to H. Those can be written as an expectation value of functions of H. ...
... Later we shall define some other ”spectral” functions that are related to H. Those can be written as an expectation value of functions of H. ...
Rewriting measurement-based quantum computations with
... condition.) Our work improves on these methods by verifying that a given pattern is deterministic—i.e. that it is free of programming errors. By working directly with the pattern we can also relax the uniformity restriction and derive correctness proofs in cases where the choice of measurement is si ...
... condition.) Our work improves on these methods by verifying that a given pattern is deterministic—i.e. that it is free of programming errors. By working directly with the pattern we can also relax the uniformity restriction and derive correctness proofs in cases where the choice of measurement is si ...
Ph.D. Thesis Rodrigo Gallego
... study the set of operations that do not create nonlocality and characterize nonlocality as a resource theory. Our framework is consistent with the canonical definitions of nonlocality in the bipartite setting. However, we find that the well-established definition of multipartite nonlocality is incon ...
... study the set of operations that do not create nonlocality and characterize nonlocality as a resource theory. Our framework is consistent with the canonical definitions of nonlocality in the bipartite setting. However, we find that the well-established definition of multipartite nonlocality is incon ...
Chiral Tunnelling in a Twisted Graphene Bilayer
... Figure 1(a) shows the general scheme that an chiral electron starts penetrating through a potential barrier U(x), which has a rectangular shape with width of D and height of E + ΔU (here E is the incident energy of the electron, ΔU is the energy difference between the potential barrier and the inci ...
... Figure 1(a) shows the general scheme that an chiral electron starts penetrating through a potential barrier U(x), which has a rectangular shape with width of D and height of E + ΔU (here E is the incident energy of the electron, ΔU is the energy difference between the potential barrier and the inci ...
Entanglement and Quantum Teleportation
... they shared a Bell state to start To create and share a Bell state, they must have (at some point) transmitted a qubit, although this transmission could be in either direction The important point: the act of sharing the quantum correlation (Bell state) could be long prior to the protocol, and does n ...
... they shared a Bell state to start To create and share a Bell state, they must have (at some point) transmitted a qubit, although this transmission could be in either direction The important point: the act of sharing the quantum correlation (Bell state) could be long prior to the protocol, and does n ...
Unit 6: Macroscopic Quantum Systems
... and then move on to the build-up of atoms into molecules. The quantum concept of the Pauli exclusion principle plays a key role in this build-up (or, in the original German, aufbau). This principle prevents more than one fermion of the same fundamental type from occupying the same quantum state, whe ...
... and then move on to the build-up of atoms into molecules. The quantum concept of the Pauli exclusion principle plays a key role in this build-up (or, in the original German, aufbau). This principle prevents more than one fermion of the same fundamental type from occupying the same quantum state, whe ...
Quantum Mathematics Table of Contents
... the prototype of wave/particle duality — have straightforwardly written down the equations of “wave mechanics”, and thus anticipated quantum mechanics by almost a century. However, the lack of any physical motivation for taking this conceptual leap prevented such a mathematical advance occurring bef ...
... the prototype of wave/particle duality — have straightforwardly written down the equations of “wave mechanics”, and thus anticipated quantum mechanics by almost a century. However, the lack of any physical motivation for taking this conceptual leap prevented such a mathematical advance occurring bef ...
23 - Electronic Colloquium on Computational Complexity
... 2. Measurements. Quantum states can’t exist forever in the abstract realm. At some point we have to measure them. The most basic type of measurement we can do is with respect to the orthonormal basis {|1i, |2i, . . . , |N i}. If |ψi = α1 |1i + · · · + αN |N i, and we measure |ψi, we’ll get the outco ...
... 2. Measurements. Quantum states can’t exist forever in the abstract realm. At some point we have to measure them. The most basic type of measurement we can do is with respect to the orthonormal basis {|1i, |2i, . . . , |N i}. If |ψi = α1 |1i + · · · + αN |N i, and we measure |ψi, we’ll get the outco ...
Finite Element Approach of Electronic Structures THÈSE
... this problem cannot be solved exactly for most systems. We employ the Hartree-Fock methods to simplify the problem. Here we propose to employ localized trial functions, and particularly the finite element method, to approximate the solution. This numerical tool has been widely used in other areas an ...
... this problem cannot be solved exactly for most systems. We employ the Hartree-Fock methods to simplify the problem. Here we propose to employ localized trial functions, and particularly the finite element method, to approximate the solution. This numerical tool has been widely used in other areas an ...
On-Shell Methods in Perturbative QCD
... • In this talk analytic on-shell methods: spinors, twistors, unitarity method, on-shell bootstrap approach. Bern, Dixon, Dunbar, Kosower; Bern and Morgan; Cachazo, Svrcek and Witten; Bern, Dixon, Kosower; Bedford, Brandhuber, Spence, Travaglini; Britto, Cachazo, Feng and Witten; Berger, Bern, Dixon, ...
... • In this talk analytic on-shell methods: spinors, twistors, unitarity method, on-shell bootstrap approach. Bern, Dixon, Dunbar, Kosower; Bern and Morgan; Cachazo, Svrcek and Witten; Bern, Dixon, Kosower; Bedford, Brandhuber, Spence, Travaglini; Britto, Cachazo, Feng and Witten; Berger, Bern, Dixon, ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.