Ph.D. thesis - Chin Lab at the University of Chicago
... dominates over their mobility. We study slow mass transport and statistical evolution of atoms in the lattice, as well as scale invariance and universality in weakly-interacting 2D quantum gases without lattice. These results offer the essential knowledge to prepare and investigate atomic samples in ...
... dominates over their mobility. We study slow mass transport and statistical evolution of atoms in the lattice, as well as scale invariance and universality in weakly-interacting 2D quantum gases without lattice. These results offer the essential knowledge to prepare and investigate atomic samples in ...
UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... To summarize, the commutative invariant algebra here is generated by the selfadjoint operator K which defines an automorphism group α. The fact that W ∗ (K) is invariant under the action of T is equivalent to the commutation of α and T since K is multiplicity-free or nondegenerate so that W ∗ (K) coi ...
... To summarize, the commutative invariant algebra here is generated by the selfadjoint operator K which defines an automorphism group α. The fact that W ∗ (K) is invariant under the action of T is equivalent to the commutation of α and T since K is multiplicity-free or nondegenerate so that W ∗ (K) coi ...
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... response time of a similar thermo-optic heater (25), the estimated reconfiguration time of the tunable OAM generator is on the order of a microsecond, much faster than that of the liquidcrystal based spatial light modulator which is usually on the order of a millisecond. Moreover, in addition to th ...
... response time of a similar thermo-optic heater (25), the estimated reconfiguration time of the tunable OAM generator is on the order of a microsecond, much faster than that of the liquidcrystal based spatial light modulator which is usually on the order of a millisecond. Moreover, in addition to th ...
Quantum Computing
... a classical computer can do with at most a small (logarithmic) slow down. The early 1990s saw the first truly quantum algorithms, algorithms with no classical analog that were provably better than any possible classical algorithm. The first of these was Deutsch’s algorithm, later generalized to the ...
... a classical computer can do with at most a small (logarithmic) slow down. The early 1990s saw the first truly quantum algorithms, algorithms with no classical analog that were provably better than any possible classical algorithm. The first of these was Deutsch’s algorithm, later generalized to the ...
Coherent Decay of Bose-Einstein Condensates
... Figure showing 6 Li2 molecular levels near threshold. The line starting at E = B = 0 shows the Zeeman energy of two separated atoms, while the narrow resonance at 534 G and the broad resonance at 834 G start as two different, but nearly degenerate spin components of the ν = 38 vibrational level of t ...
... Figure showing 6 Li2 molecular levels near threshold. The line starting at E = B = 0 shows the Zeeman energy of two separated atoms, while the narrow resonance at 534 G and the broad resonance at 834 G start as two different, but nearly degenerate spin components of the ν = 38 vibrational level of t ...
Single photons from single ions: quantum interference and distant ion interaction Dissertation
... In analogy to the classical computer, the quantum computer uses gates to process quantum information. There is a finite set of quantum gates that are called universal, such that an arbitrary quantum computation on any number of qubits can be generated [4]. Single qubit gates (e.g. NOT gate, Hadamard ...
... In analogy to the classical computer, the quantum computer uses gates to process quantum information. There is a finite set of quantum gates that are called universal, such that an arbitrary quantum computation on any number of qubits can be generated [4]. Single qubit gates (e.g. NOT gate, Hadamard ...
Quantum boolean functions - Chicago Journal of Theoretical
... This paper draws heavily on the classical field of the analysis of boolean functions, which for our purposes essentially began with the seminal paper of Kahn, Kalai and Linial [KKL88], which proved that every balanced boolean function must have an influential variable (see Section 10). Since then, a ...
... This paper draws heavily on the classical field of the analysis of boolean functions, which for our purposes essentially began with the seminal paper of Kahn, Kalai and Linial [KKL88], which proved that every balanced boolean function must have an influential variable (see Section 10). Since then, a ...
Quantum Programming Languages: Survey and Bibliography
... as the first model for general quantum computation, with the crucial property that superpositions of machine states are allowed, and defines a universal QTM. Earlier work by Benioff (1980) defines physical systems in which the laws of quantum mechanics would lead to the simulation of a classical Tur ...
... as the first model for general quantum computation, with the crucial property that superpositions of machine states are allowed, and defines a universal QTM. Earlier work by Benioff (1980) defines physical systems in which the laws of quantum mechanics would lead to the simulation of a classical Tur ...
Analysis of Literature: Quantum Computer Programming
... then in the worst case all one thousand will be attempted. This isn’t the case with a quantum computer- a quantum computer can execute all of those attempts at once. A quantum computer’s power increases by a power of two for each qubit added. Furthermore a quantum computer does not require the commu ...
... then in the worst case all one thousand will be attempted. This isn’t the case with a quantum computer- a quantum computer can execute all of those attempts at once. A quantum computer’s power increases by a power of two for each qubit added. Furthermore a quantum computer does not require the commu ...
Distances in Probability Space and the Statistical Complexity
... defining complexity is due to P. Grassberger [19], being related to the pattern-generation by the dynamics of a system. The most complex situation is neither the one with highest Shannon information S (random structure) nor the one with lowest S (ordered structures). Thus, in the Grassberger view co ...
... defining complexity is due to P. Grassberger [19], being related to the pattern-generation by the dynamics of a system. The most complex situation is neither the one with highest Shannon information S (random structure) nor the one with lowest S (ordered structures). Thus, in the Grassberger view co ...
Quantum Computing - Department of Computing
... is the pattern one expects for waves (e.g. water waves or electromagnetic radiation), not particles. ...
... is the pattern one expects for waves (e.g. water waves or electromagnetic radiation), not particles. ...
The Computational Complexity of Linear Optics
... DA , then Theorem 1 shows that P#P ⊆ BPPNP —but only if the BPPNP machine gets to fix the random bits used by O. This condition is clearly met if O is a classical randomized algorithm, since we can always interpret a randomized algorithm as just a deterministic algorithm that takes a random string r ...
... DA , then Theorem 1 shows that P#P ⊆ BPPNP —but only if the BPPNP machine gets to fix the random bits used by O. This condition is clearly met if O is a classical randomized algorithm, since we can always interpret a randomized algorithm as just a deterministic algorithm that takes a random string r ...
Observation of mesoscopic crystalline structures in a two
... number of excitations is rapidly detuned by the interactions. In fact, the rapid variation of the van der Waals potential with distance prevents the excitation of all those states where Rydberg atoms are separated by less than the blockade radius, Rb , defined by ~Ω = −C6 /Rb6 . The existence of thi ...
... number of excitations is rapidly detuned by the interactions. In fact, the rapid variation of the van der Waals potential with distance prevents the excitation of all those states where Rydberg atoms are separated by less than the blockade radius, Rb , defined by ~Ω = −C6 /Rb6 . The existence of thi ...
Quantum nonlocality
... an internal difference” We all know that two electrons exhibit no internal differences. •In classical physics one can try to “individuate” absolutely identical objects by considering their locations in space and time. •This is not possible in quantum physics since in it trajectories are meaningless. ...
... an internal difference” We all know that two electrons exhibit no internal differences. •In classical physics one can try to “individuate” absolutely identical objects by considering their locations in space and time. •This is not possible in quantum physics since in it trajectories are meaningless. ...
From Quantum Gates to Quantum Learning
... • A quantum (combinational) circuit is a sequence of quantum gates, linked by “wires” • The circuit has fixed “width” corresponding to the number of qubits being processed • Logic design (classical and quantum) attempts to find circuit structures for needed operations that are ...
... • A quantum (combinational) circuit is a sequence of quantum gates, linked by “wires” • The circuit has fixed “width” corresponding to the number of qubits being processed • Logic design (classical and quantum) attempts to find circuit structures for needed operations that are ...
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 ...
QUANTUM COMPUTING: AN OVERVIEW
... Quantum computing and quantum information processing are emerging disciplines in which the principles of quantum physics are employed to store and process information. We use the classical digital technology at almost every moment in our lives: computers, mobile phones, mp3 players, just to name a f ...
... Quantum computing and quantum information processing are emerging disciplines in which the principles of quantum physics are employed to store and process information. We use the classical digital technology at almost every moment in our lives: computers, mobile phones, mp3 players, just to name a f ...