Elliptic Curve Cryptography and Quantum Computing
... Some benefits to using ECC over RSA for a cryptosystem are listed below. Elliptic Curve Cryptosystem (ECC) ...
... Some benefits to using ECC over RSA for a cryptosystem are listed below. Elliptic Curve Cryptosystem (ECC) ...
For screen - Mathematical Sciences Publishers
... in the explicit form, then Groebner–Shirshov relations systems, and next spaces L(UP (g)) spanned by the skew primitive elements (i.e., the Lie algebra quantifications gP proper). In all cases the lists of hard super-letters (but not the hard super-letters themselves) turn out to be independent of t ...
... in the explicit form, then Groebner–Shirshov relations systems, and next spaces L(UP (g)) spanned by the skew primitive elements (i.e., the Lie algebra quantifications gP proper). In all cases the lists of hard super-letters (but not the hard super-letters themselves) turn out to be independent of t ...
Observation of Quantum Oscillations between a Josephson Phase Qubit
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
Tunneling Times and Superluminality: a Tutorial
... of the tunneling amplitude with respect to the energy of the particle. The Büttiker-Landauer time is based on a different Gedankenexperiment. Suppose that the height of the tunnel barrier is perturbed sinusoidally in time. If the frequency of the perturbation is very low, the tunneling particle wil ...
... of the tunneling amplitude with respect to the energy of the particle. The Büttiker-Landauer time is based on a different Gedankenexperiment. Suppose that the height of the tunnel barrier is perturbed sinusoidally in time. If the frequency of the perturbation is very low, the tunneling particle wil ...
Implementation of Grover`s Quantum Search Algorithm with Two
... and small scale quantum algorithms have been implemented in this system. In the trapped ion system presented here, quantum bits (qubits) consist of the first order magnetic field insensitive ground state hyperfine levels of ...
... and small scale quantum algorithms have been implemented in this system. In the trapped ion system presented here, quantum bits (qubits) consist of the first order magnetic field insensitive ground state hyperfine levels of ...
ABSTRACT RANDOM ROUTING AND CONCENTRATION IN QUANTUM SWITCHING NETWORKS
... with no blocking is always present in the output quantum state with a non-zero probability. We give a lower bound on the probability of observing such patterns on measurement at the output and identify a class of 2n−1 permutation patterns for which this bound is equal to 1, i.e., for all the permuta ...
... with no blocking is always present in the output quantum state with a non-zero probability. We give a lower bound on the probability of observing such patterns on measurement at the output and identify a class of 2n−1 permutation patterns for which this bound is equal to 1, i.e., for all the permuta ...
- Quantum Optics and Spectroscopy
... Huygens’ (1629-1695) principle of elementary waves and the double-slit experiments performed in 1801 by Young (1773-1829) moreover made their contribution to the general acceptance of the wave-nature of light. It was up to MacCullagh, Faraday (1791-1867) and Maxwell (1831-1879) to develop concepts p ...
... Huygens’ (1629-1695) principle of elementary waves and the double-slit experiments performed in 1801 by Young (1773-1829) moreover made their contribution to the general acceptance of the wave-nature of light. It was up to MacCullagh, Faraday (1791-1867) and Maxwell (1831-1879) to develop concepts p ...
Quantum Gates and Simon`s Algorithm
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
CHAPTER 14: Elementary Particles
... Mesons are particles with integral spin having masses greater than that of the muon (106 MeV/c2). (Mesons are made up of pairs of quarks—a quark and an anti-quark.) They’re unstable and rare. Baryons have masses at least as large as the proton and have halfintegral spins. Baryons include the proton ...
... Mesons are particles with integral spin having masses greater than that of the muon (106 MeV/c2). (Mesons are made up of pairs of quarks—a quark and an anti-quark.) They’re unstable and rare. Baryons have masses at least as large as the proton and have halfintegral spins. Baryons include the proton ...
Canonical Transformations in Quantum Mechanics
... is a “notion.” The angle brackets are used to emphasize that f is not a function of the notes, but an ordered expression in terms of them. Angle brackets and this terminology will only be used in this section. In later sections, the convenient fiction that elements of U like the Hamiltonian are func ...
... is a “notion.” The angle brackets are used to emphasize that f is not a function of the notes, but an ordered expression in terms of them. Angle brackets and this terminology will only be used in this section. In later sections, the convenient fiction that elements of U like the Hamiltonian are func ...
Ph410 Physics of Quantum Computation1
... (reversing) the program once the answer was obtained. The notion that computation could be performed by a reversible process was initially considered to be counterintuitive – and impractical. However, this idea was of great conceptual importance because it opened the door to quantum computation, bas ...
... (reversing) the program once the answer was obtained. The notion that computation could be performed by a reversible process was initially considered to be counterintuitive – and impractical. However, this idea was of great conceptual importance because it opened the door to quantum computation, bas ...
Quantum Optical Multiple Scattering
... related to elastic and inelastic scattering of quantized light. The presented work is naturally divided into two parts, the first is concerning elastic scattering while the second explores inelastic scattering. In the first part we use a scattering-matrix formalism combined with results from random- ...
... related to elastic and inelastic scattering of quantized light. The presented work is naturally divided into two parts, the first is concerning elastic scattering while the second explores inelastic scattering. In the first part we use a scattering-matrix formalism combined with results from random- ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: