Are Quantum States Exponentially Long Vectors?
... My results imply a positive answer to the second question: not only could a quantum computer efficiently generate non-tree states, but such states arise naturally in several quantum algorithms.2 In particular, let C be a random linear code over GF2 . Then with overwhelming probability, a uniform sup ...
... My results imply a positive answer to the second question: not only could a quantum computer efficiently generate non-tree states, but such states arise naturally in several quantum algorithms.2 In particular, let C be a random linear code over GF2 . Then with overwhelming probability, a uniform sup ...
RESEARCH SUMMARIES
... Dirk Bouwmeester Lawrence Coldren Pierre Petroff National Science Foundation, PHY-0334970 ...
... Dirk Bouwmeester Lawrence Coldren Pierre Petroff National Science Foundation, PHY-0334970 ...
Quantum Computational Complexity in Curved Spacetime
... where |0i and |1i are spin eigenstates, and Ω will depend in a non-trivial manner on the gravitational field and the path followed by the qubit2 . As a consequence, gravitation rotates spin-based qubits in a non-trivial manner. This is a critical fact because spin-based qubits in a quantum computer ...
... where |0i and |1i are spin eigenstates, and Ω will depend in a non-trivial manner on the gravitational field and the path followed by the qubit2 . As a consequence, gravitation rotates spin-based qubits in a non-trivial manner. This is a critical fact because spin-based qubits in a quantum computer ...
Quantum walk as a generalized measuring device
... the element corresponding to position x = −1, given by E − a|ψk+1 ihψk+1 |, is also a rank 1 operator. This is trivial, since the measurement of the quantum walker at position x = −1 gives us full information about the coin state, namely that it is | ←i, which can only happen if the measurement oper ...
... the element corresponding to position x = −1, given by E − a|ψk+1 ihψk+1 |, is also a rank 1 operator. This is trivial, since the measurement of the quantum walker at position x = −1 gives us full information about the coin state, namely that it is | ←i, which can only happen if the measurement oper ...
the square root of not - bit
... build a complete quantum computer, any more than NOT gates are enough to build a classical computer. Performing useful calculations requires gates that process more than one bit (or qubit) at a time. For example, conventional computers make extensive use of AND gates that accept two input bits and h ...
... build a complete quantum computer, any more than NOT gates are enough to build a classical computer. Performing useful calculations requires gates that process more than one bit (or qubit) at a time. For example, conventional computers make extensive use of AND gates that accept two input bits and h ...
Erasable and Unerasable Correlations
... additional noise. One of the results of this Letter is that clones by universal cloning cannot be decorrelated even within this relaxed condition. Apart from this negative result, we provide in this Letter examples of states for which decorrelation is possible. Thanks to the structure of the set of ...
... additional noise. One of the results of this Letter is that clones by universal cloning cannot be decorrelated even within this relaxed condition. Apart from this negative result, we provide in this Letter examples of states for which decorrelation is possible. Thanks to the structure of the set of ...
- New England Complex Systems Institute
... be forthcoming. And these ideas are still at the “from the bottom up,” even “quasiexperimental” stage: Examples must be collected and analyzed before any broad formulations can even be considered. Nevertheless, the very existence of such parallel examples makes raising the question(s) worthwhile. Ev ...
... be forthcoming. And these ideas are still at the “from the bottom up,” even “quasiexperimental” stage: Examples must be collected and analyzed before any broad formulations can even be considered. Nevertheless, the very existence of such parallel examples makes raising the question(s) worthwhile. Ev ...
Semiclassical formula for the number variance of the Riemann zeros
... correlations in the heights of the zeros in both the universal and non-universal ranges-at least for this statistic. It is worth remarking that the transition from universal to non-universal spectral statistics has not yet been seen in any honestly quantum Hamiltonian with a chaotic classical limit, ...
... correlations in the heights of the zeros in both the universal and non-universal ranges-at least for this statistic. It is worth remarking that the transition from universal to non-universal spectral statistics has not yet been seen in any honestly quantum Hamiltonian with a chaotic classical limit, ...
Honors Convocation Address.pdf
... that selects one of the potentialities to create reality. According to his strongly held realism, measurement should be passive and reveal a pre-existing reality. Einstein therefore concluded that the inability of quantum theory to predict the outcome of a measurement was because it was incomplete a ...
... that selects one of the potentialities to create reality. According to his strongly held realism, measurement should be passive and reveal a pre-existing reality. Einstein therefore concluded that the inability of quantum theory to predict the outcome of a measurement was because it was incomplete a ...
Aalborg Universitet
... Consequently we denote in the sequel TAi ,Aj by Tθi,j or Ti,j . Reduction by symmetry. H and S enjoy various symmetry properties which follow from the fact that two particles are identical. Let π : L2 (R) → L2 (R) be the parity operator, i.e. {πϕ}(p) = ϕ(−p) and denote by π1 := π ⊗ 1 and π2 := 1 ⊗ π ...
... Consequently we denote in the sequel TAi ,Aj by Tθi,j or Ti,j . Reduction by symmetry. H and S enjoy various symmetry properties which follow from the fact that two particles are identical. Let π : L2 (R) → L2 (R) be the parity operator, i.e. {πϕ}(p) = ϕ(−p) and denote by π1 := π ⊗ 1 and π2 := 1 ⊗ π ...
Error Free Quantum Reading by Quasi Bell State of Entangled
... quantum reading based on binary phase shift keying by applying entangled coherent state. Recently, Nair et all generalized this result, including M -ary case. In this part II, we investigate the tolerance property of the zero error performance to phase shift from the optimum value such as θ = π, and ...
... quantum reading based on binary phase shift keying by applying entangled coherent state. Recently, Nair et all generalized this result, including M -ary case. In this part II, we investigate the tolerance property of the zero error performance to phase shift from the optimum value such as θ = π, and ...
Extension of Lorentz Group Representations for Chiral Fermions
... The principles of quantum measurement are at the foundation of particle physics. For example, particle spin and momentum assignments are determined by quantum representations of the Lorentz group [1], and quantum electrodynamics as a local U (1) gauge theory emerges naturally from the phase invarian ...
... The principles of quantum measurement are at the foundation of particle physics. For example, particle spin and momentum assignments are determined by quantum representations of the Lorentz group [1], and quantum electrodynamics as a local U (1) gauge theory emerges naturally from the phase invarian ...
Realisation of a programmable two-qubit quantum processor
... Computers are useful because they are versatile. Changing the problem to be solved amounts to reconfiguring inputs to the processor, that is, to reprogramming it. In a classical computer, a program is ultimately decomposed into sequences of operations implemented with logic gates. The explosion of i ...
... Computers are useful because they are versatile. Changing the problem to be solved amounts to reconfiguring inputs to the processor, that is, to reprogramming it. In a classical computer, a program is ultimately decomposed into sequences of operations implemented with logic gates. The explosion of i ...
Production of Phonon Schr ¨odinger Cat States in Benzoid Rings
... On the other hand, Schrödinger’s paper on the current situation of quantum mechanics, published in 1935[5], proposes a Gedankenexperiment to prepare superpositions of dead and alive cats, which highlights that the vast majority of states allowed by quantum mechanics are not observed in our macrosco ...
... On the other hand, Schrödinger’s paper on the current situation of quantum mechanics, published in 1935[5], proposes a Gedankenexperiment to prepare superpositions of dead and alive cats, which highlights that the vast majority of states allowed by quantum mechanics are not observed in our macrosco ...
Missing Link
... does the “Now” move?) and so on to infinity of times 2. It seems to entail absolute simultaneity ...
... does the “Now” move?) and so on to infinity of times 2. It seems to entail absolute simultaneity ...
