950 - IACR
... be useful only for a limited time: currently, we may assume a small limit on the adversary’s quantum memory. Should quantum technology advance, though, quantum memory might become cheap, and at that point BQSM protocols must not be used any more. In contrast, with everlasting security as in this pap ...
... be useful only for a limited time: currently, we may assume a small limit on the adversary’s quantum memory. Should quantum technology advance, though, quantum memory might become cheap, and at that point BQSM protocols must not be used any more. In contrast, with everlasting security as in this pap ...
On Quantum Sieve Approaches to the Lattice
... to explain why no speedup is gained in the quantum case. They both begin by performing an LLL-reduction to obtain an exponential factor approximation of the shortest vector, which they use to try all O(n) possibilities for a constant factor approximation. In both cases, they then partition the space ...
... to explain why no speedup is gained in the quantum case. They both begin by performing an LLL-reduction to obtain an exponential factor approximation of the shortest vector, which they use to try all O(n) possibilities for a constant factor approximation. In both cases, they then partition the space ...
Nature physics
... distribution. Upon sudden release of the matter wave from the optical lattice potential, one observes a multiple matter-wave interference pattern (see Fig. 6a). For the case of large interactions relative to the kinetic energy, U/J >> 1, the system enters the strongly correlated state of a Mott insu ...
... distribution. Upon sudden release of the matter wave from the optical lattice potential, one observes a multiple matter-wave interference pattern (see Fig. 6a). For the case of large interactions relative to the kinetic energy, U/J >> 1, the system enters the strongly correlated state of a Mott insu ...
Microscopic Chaos and Nonequilibrium Statistical Mechanics: From
... Bohr frequencies ω = (Em − En )/h̄ for systems with a discrete energy spectrum and is continuous otherwise. In one-particle quantum systems, a transport coefficient like diffusion is typically either infinite (α = ∞) in the case of a continuous band-spectrum due to ballistic motion, or zero (α = 0) ...
... Bohr frequencies ω = (Em − En )/h̄ for systems with a discrete energy spectrum and is continuous otherwise. In one-particle quantum systems, a transport coefficient like diffusion is typically either infinite (α = ∞) in the case of a continuous band-spectrum due to ballistic motion, or zero (α = 0) ...
Direct characterization of quantum dynamics
... nature of a quantum process, without ever revealing the state of the system. In general, however, it is unclear if there is a fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, provi ...
... nature of a quantum process, without ever revealing the state of the system. In general, however, it is unclear if there is a fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, provi ...
The Iterative Unitary Matrix Multiply Method and Its Application to
... the distinction between rational and irrational numbers depends on infinite significant digits. An infinitesimal error can change a rational (irrational) number into an irrational (rational) number. While we expect the system changes little from our experiences of studying physics as was emphasized ...
... the distinction between rational and irrational numbers depends on infinite significant digits. An infinitesimal error can change a rational (irrational) number into an irrational (rational) number. While we expect the system changes little from our experiences of studying physics as was emphasized ...
UNCERTAINTY PRINCIPLE AND QUANTUM FISHER INFORMATION
... In this way the lower bound will appear as a simple function of the area spanned by the commutators i[A, ρ], i[B, ρ] in the tangent space to the state ρ, provided the state space is equipped with a suitable monotone metric (see Theorem 6.1). At this point it is natural to ask whether such an inequa ...
... In this way the lower bound will appear as a simple function of the area spanned by the commutators i[A, ρ], i[B, ρ] in the tangent space to the state ρ, provided the state space is equipped with a suitable monotone metric (see Theorem 6.1). At this point it is natural to ask whether such an inequa ...
Workshop on Spectral Geometry General Information
... minimal submanifolds in the unit sphere, we show that their first eigenvalues are also equal to their dimensions in the non-stable range. Moreover, we give some estimate on ...
... minimal submanifolds in the unit sphere, we show that their first eigenvalues are also equal to their dimensions in the non-stable range. Moreover, we give some estimate on ...
High-fidelity Z-measurement error encoding of optical qubits
... state—and then performing only single qubit measurements in a basis determined from the outcome of previous measurements 关22兴. Like the n-qubit Z-error QEC code, these cluster states are robust against accidental Z measurement. The encoding of Eq. 共1兲 also forms the basic element in a redundancy cod ...
... state—and then performing only single qubit measurements in a basis determined from the outcome of previous measurements 关22兴. Like the n-qubit Z-error QEC code, these cluster states are robust against accidental Z measurement. The encoding of Eq. 共1兲 also forms the basic element in a redundancy cod ...
Kazakov - From Sigma Models to Four-dimensional QFT
... Y-system and Hirota eq.: discrete integrable dynamics • Relation of Y-system to T-system (Hirota equation) (the Master Equation of Integrability!) ...
... Y-system and Hirota eq.: discrete integrable dynamics • Relation of Y-system to T-system (Hirota equation) (the Master Equation of Integrability!) ...
