Towards a quantum analog of weak KAM theory
... This paper proposes an extension of Mather’s variational principle [M1-2, M-F] and Fathi’s weak KAM theory [F1-3] to quantum states. We interpret “weak KAM” theory to mean the application of nonlinear PDE methods, mostly for first–order equations, towards understanding the structure of action minimiz ...
... This paper proposes an extension of Mather’s variational principle [M1-2, M-F] and Fathi’s weak KAM theory [F1-3] to quantum states. We interpret “weak KAM” theory to mean the application of nonlinear PDE methods, mostly for first–order equations, towards understanding the structure of action minimiz ...
Size-dependent properties of CdSe quantum dots
... 10−4 emu K / mol兲 for d = 5.6, 4.1, and 2.8 nm, respectively 共inset to Fig. 3兲. This rapid increase in C with a decrease in d is due to increase in surface/volume ratio as d decreases. Note that C = N2 / 3kB where N is the number of dangling bonds/ mol, each with effective magnetic moment and kB ...
... 10−4 emu K / mol兲 for d = 5.6, 4.1, and 2.8 nm, respectively 共inset to Fig. 3兲. This rapid increase in C with a decrease in d is due to increase in surface/volume ratio as d decreases. Note that C = N2 / 3kB where N is the number of dangling bonds/ mol, each with effective magnetic moment and kB ...
What is connectomics? - Brain Dynamics Laboratory
... cognition. Structure-function relationships in the brain are unlikely to reduce to simple one-to-one mappings. • This is immediately evident since the connectome can evidently support a great number of variable dynamic states at each time, depending on current sensory inputs, global brain state, lea ...
... cognition. Structure-function relationships in the brain are unlikely to reduce to simple one-to-one mappings. • This is immediately evident since the connectome can evidently support a great number of variable dynamic states at each time, depending on current sensory inputs, global brain state, lea ...
What is connectomics? - Brain Dynamics Laboratory
... cognition. Structure-function relationships in the brain are unlikely to reduce to simple one-to-one mappings. • This is immediately evident since the connectome can evidently support a great number of variable dynamic states at each time, depending on current sensory inputs, global brain state, lea ...
... cognition. Structure-function relationships in the brain are unlikely to reduce to simple one-to-one mappings. • This is immediately evident since the connectome can evidently support a great number of variable dynamic states at each time, depending on current sensory inputs, global brain state, lea ...
Turing Machine
... very complex problems. Just as DNA cloning and sequencing were once manual tasks, DNA computers will also become automated. In addition to the direct benefits of using DNA computers for performing complex computations, some of the operations of DNA computers already have, and perceivably more will b ...
... very complex problems. Just as DNA cloning and sequencing were once manual tasks, DNA computers will also become automated. In addition to the direct benefits of using DNA computers for performing complex computations, some of the operations of DNA computers already have, and perceivably more will b ...
PPT File
... When there is no initial correlation between the quantum system and stochastic process, we obtain the time-convolutionless (TCL) quantum master equation ...
... When there is no initial correlation between the quantum system and stochastic process, we obtain the time-convolutionless (TCL) quantum master equation ...
Quantum Computing Lecture 1 Bits and Qubits What is Quantum
... Postulate 1: A closed system is described by a unit vector in a complex inner product space. Postulate 2: The evolution of a closed system in a fixed time interval is described by a unitary transform. Postulate 3: If we measure the state |ψi of a system in an orthonormal basis |0i · · · |n − 1i, we ...
... Postulate 1: A closed system is described by a unit vector in a complex inner product space. Postulate 2: The evolution of a closed system in a fixed time interval is described by a unitary transform. Postulate 3: If we measure the state |ψi of a system in an orthonormal basis |0i · · · |n − 1i, we ...
what is time in some modern physics theories: interpretation problems
... of the present, it would be impossible to make them up into a proper duration. The same would be adding even an infinite number of non-dimensional pieces - you still get nothing. Thus, the time should consist of indivisible segments of the present, which all have duration. In other words, time leaps ...
... of the present, it would be impossible to make them up into a proper duration. The same would be adding even an infinite number of non-dimensional pieces - you still get nothing. Thus, the time should consist of indivisible segments of the present, which all have duration. In other words, time leaps ...
On the Formal Verification of Optical Quantum Gates in HOL
... of the targeted quantum definitions and theorems there are quantifications over functions and predicates. Based on [14], the formal model of one of the quantum computer gates, namely the optical flip gate, has been developed along with its verification [13]. However, the existing work is limited to sing ...
... of the targeted quantum definitions and theorems there are quantifications over functions and predicates. Based on [14], the formal model of one of the quantum computer gates, namely the optical flip gate, has been developed along with its verification [13]. However, the existing work is limited to sing ...
Indistinguishable photons from a single-photon device
... are shown in Fig. 3a. The single-photon source is as described above, except that the quantum dot is excited twice every 13 ns by a pair of equally intense pulses with 2 ns separation. Two pulses, each containing zero or one photons, emerge from the single-mode fibre. They are split into two arms by ...
... are shown in Fig. 3a. The single-photon source is as described above, except that the quantum dot is excited twice every 13 ns by a pair of equally intense pulses with 2 ns separation. Two pulses, each containing zero or one photons, emerge from the single-mode fibre. They are split into two arms by ...
spin liquids - IPhT
... - dimensions L1×L2×…×LDwith L2×…×Ld=odd - periodic bound. conditions in direction 1 - thermodynamic limit ...
... - dimensions L1×L2×…×LDwith L2×…×Ld=odd - periodic bound. conditions in direction 1 - thermodynamic limit ...