Statistical Mechanics to Disordered Quantum Optimization
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
Classical and Non-Classical Representations in Physics
... philosophy of science is formed by the theories of physics, in particular classical mechanics, quantum mechanics and relativity theory. The reason to prefer physics to, say, geography or psychology, is that physics is the most developed of the traditional disciplines, and as such proposes theories w ...
... philosophy of science is formed by the theories of physics, in particular classical mechanics, quantum mechanics and relativity theory. The reason to prefer physics to, say, geography or psychology, is that physics is the most developed of the traditional disciplines, and as such proposes theories w ...
Adaptive all-order dispersion compensation of ultrafast laser pulses
... is necessary. In addition, pulse synchronization experiments from multiple laser sources may benefit from timing drift stabilization. For long-distance applications, it would be necessary to seed a local oscillator to provide the reference pulse at the receiver. In conclusion, we have experimentally ...
... is necessary. In addition, pulse synchronization experiments from multiple laser sources may benefit from timing drift stabilization. For long-distance applications, it would be necessary to seed a local oscillator to provide the reference pulse at the receiver. In conclusion, we have experimentally ...
Quantum process tomography of two-qubit controlled-Z
... most promising candidates.2 Recent experiments using superconducting architectures include demonstrations of quantum algorithms using two qubits3 and the entanglement of three qubits.4,5 A key element in these experiments is a twoqubit entangling gate, such as the 冑iSWAP 共Ref. 4兲 and the controlled- ...
... most promising candidates.2 Recent experiments using superconducting architectures include demonstrations of quantum algorithms using two qubits3 and the entanglement of three qubits.4,5 A key element in these experiments is a twoqubit entangling gate, such as the 冑iSWAP 共Ref. 4兲 and the controlled- ...
Circuit QED: Superconducting Qubits Coupled to Microwave Photons
... These lectures are devoted to understanding the basic components of quantum machines that can be constructed from superconducting electrical circuits. These circuits can be used to create resonators which store individual microwave photons and to create superconducting quantum bits. Both of these ci ...
... These lectures are devoted to understanding the basic components of quantum machines that can be constructed from superconducting electrical circuits. These circuits can be used to create resonators which store individual microwave photons and to create superconducting quantum bits. Both of these ci ...
Jagiellonian University M. Smoluchowski Institute of Physics Entropy
... exist, of course, many interpretations and therefore, many kinds of information concerning this picture. However, nowadays we are willing to distinguish some sort of information necessary to communicate a message independently on the interpretation. Due to our experience with computers we are used t ...
... exist, of course, many interpretations and therefore, many kinds of information concerning this picture. However, nowadays we are willing to distinguish some sort of information necessary to communicate a message independently on the interpretation. Due to our experience with computers we are used t ...
PhysRevB.89.020408 - FU Berlin
... many different magnetic orders are present [1,2], where an infinite number of degenerate ground states can be found [3]. From a theoretical perspective, not many rigorous results about the quantum phase diagram are known so far. Advanced mean field theories have provided important guidance as to wha ...
... many different magnetic orders are present [1,2], where an infinite number of degenerate ground states can be found [3]. From a theoretical perspective, not many rigorous results about the quantum phase diagram are known so far. Advanced mean field theories have provided important guidance as to wha ...
Contextualizing Concepts using a Mathematical Generalization of
... contains knowledge concerning both which variables or measurements are relevant, and the values obtained for them. This does seem to be a step toward a richer understanding of concept representation, though many limitations have been pointed out (see for example Komatsu 1992, Fodor 1994, Rips 1995). ...
... contains knowledge concerning both which variables or measurements are relevant, and the values obtained for them. This does seem to be a step toward a richer understanding of concept representation, though many limitations have been pointed out (see for example Komatsu 1992, Fodor 1994, Rips 1995). ...
Cooling and Trapping Neutral Atoms—W. Ketterle, D.E. Pritchard
... Atomic Fermi gases close to a Feshbach resonance can explore the entire regime from weak coupling to strong interaction between the particles. When cooled below a critical temperature, fermions form bosonic pairs which can condense into the ground state of the system. The nature of the pairs depends ...
... Atomic Fermi gases close to a Feshbach resonance can explore the entire regime from weak coupling to strong interaction between the particles. When cooled below a critical temperature, fermions form bosonic pairs which can condense into the ground state of the system. The nature of the pairs depends ...
Full Text - University of Arizona
... optical potential depends on the atom’s internal spin state [22]. The lattice’s morphology can now be modified through variation of the laser polarization, as well as intensity, lattice phase, etc. The earliest proposals for quantum logic in optical lattices via controlled collisions involved transp ...
... optical potential depends on the atom’s internal spin state [22]. The lattice’s morphology can now be modified through variation of the laser polarization, as well as intensity, lattice phase, etc. The earliest proposals for quantum logic in optical lattices via controlled collisions involved transp ...
MODULE MAPS OVER LOCALLY COMPACT QUANTUM GROUPS
... Let G = (L∞ (G), Γ, ϕ, ψ) be a von Neumann algebraic locally compact quantum group and let L1 (G) be the convolution quantum group algebra of G. If we let C0 (G) be the reduced C ∗ -algebra associated with G, then its operator dual M (G) is a faithful completely contractive Banach algebra containing ...
... Let G = (L∞ (G), Γ, ϕ, ψ) be a von Neumann algebraic locally compact quantum group and let L1 (G) be the convolution quantum group algebra of G. If we let C0 (G) be the reduced C ∗ -algebra associated with G, then its operator dual M (G) is a faithful completely contractive Banach algebra containing ...
Quantum key distribution
Quantum key distribution (QKD) uses quantum mechanics to guarantee secure communication. It enables two parties to produce a shared random secret key known only to them, which can then be used to encrypt and decrypt messages. It is often incorrectly called quantum cryptography, as it is the most well known example of the group of quantum cryptographic tasks.An important and unique property of quantum key distribution is the ability of the two communicating users to detect the presence of any third party trying to gain knowledge of the key. This results from a fundamental aspect of quantum mechanics: the process of measuring a quantum system in general disturbs the system. A third party trying to eavesdrop on the key must in some way measure it, thus introducing detectable anomalies. By using quantum superpositions or quantum entanglement and transmitting information in quantum states, a communication system can be implemented which detects eavesdropping. If the level of eavesdropping is below a certain threshold, a key can be produced that is guaranteed to be secure (i.e. the eavesdropper has no information about it), otherwise no secure key is possible and communication is aborted.The security of encryption that uses quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional public key cryptography which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping at any point in the communication process, or any mathematical proof as to the actual complexity of reversing the one-way functions used. QKD has provable security based on information theory, and forward secrecy.Quantum key distribution is only used to produce and distribute a key, not to transmit any message data. This key can then be used with any chosen encryption algorithm to encrypt (and decrypt) a message, which can then be transmitted over a standard communication channel. The algorithm most commonly associated with QKD is the one-time pad, as it is provably secure when used with a secret, random key. In real world situations, it is often also used with encryption using symmetric key algorithms like the Advanced Encryption Standard algorithm. In the case of QKD this comparison is based on the assumption of perfect single-photon sources and detectors, that cannot be easily implemented.