Quantum cryptography
... In classical computers, information is represented on macroscopic level by bits, which can take one of the two values 0 or 1 In quantum computers, information is represented on microscopic level using qubits, (quantum bits) which can take on any from the following uncountable many values |0 + b|1 ...
... In classical computers, information is represented on macroscopic level by bits, which can take one of the two values 0 or 1 In quantum computers, information is represented on microscopic level using qubits, (quantum bits) which can take on any from the following uncountable many values |0 + b|1 ...
Tensor Networks, Quantum Error Correction, and
... that serve to remove some short-range entanglement. Next, maps are applied to each such pair that coarse-grain. For our purposes, we can think of these as maps V × V → V which effectively halve the number of spins in the chain (other coarse-graining schemes are possible). Running in the other direc ...
... that serve to remove some short-range entanglement. Next, maps are applied to each such pair that coarse-grain. For our purposes, we can think of these as maps V × V → V which effectively halve the number of spins in the chain (other coarse-graining schemes are possible). Running in the other direc ...
Shor`s Factoring Algorithm and Modern Cryptography. An Illustration
... The non-secret components of Bob’s public key system, which Bob now is ready to broadcast for the benefit of one and all, are7 : (i) the positive integers N and e; which herein will be termed the key number and encryption exponent respectively; (ii) the details of the symmetric key Alice will be usi ...
... The non-secret components of Bob’s public key system, which Bob now is ready to broadcast for the benefit of one and all, are7 : (i) the positive integers N and e; which herein will be termed the key number and encryption exponent respectively; (ii) the details of the symmetric key Alice will be usi ...
Fermi accelerator in atom optics
... collisions with moving magnetic fields that accelerate cosmic rays. Since then many models associated with the name of Fermi accelerator describing particles colliding with moving walls have been investigated theoretically @2–6#. The recent experiment @7# on atoms bouncing off a modulated atomic mir ...
... collisions with moving magnetic fields that accelerate cosmic rays. Since then many models associated with the name of Fermi accelerator describing particles colliding with moving walls have been investigated theoretically @2–6#. The recent experiment @7# on atoms bouncing off a modulated atomic mir ...
lowdin`s remarks on the aufbau principle and a philosopher`s view of
... said to have described it as "ab initio", implying that the whole of that particular project had been carried out from the beginning in his laboratory. Very soon the term was being used for all kinds of accurate theoretical work which, at least at first sight, did not involve any fixing of paramente ...
... said to have described it as "ab initio", implying that the whole of that particular project had been carried out from the beginning in his laboratory. Very soon the term was being used for all kinds of accurate theoretical work which, at least at first sight, did not involve any fixing of paramente ...
Quantum cryptography
... In classical computers, information is represented on macroscopic level by bits, which can take one of the two values 0 or 1 In quantum computers, information is represented on microscopic level using qubits, (quantum bits) which can take on any from the following uncountable many values |0 + b|1 ...
... In classical computers, information is represented on macroscopic level by bits, which can take one of the two values 0 or 1 In quantum computers, information is represented on microscopic level using qubits, (quantum bits) which can take on any from the following uncountable many values |0 + b|1 ...
- Philsci
... bullet and suggested relativizing existence to one’s state of motion. Others have flatly denounced special relativity as false (which it is, but they mean even if gravitational and quantum effects are negligible). These claims are obviously very radical. Others, like Stein (1991), have claimed that ...
... bullet and suggested relativizing existence to one’s state of motion. Others have flatly denounced special relativity as false (which it is, but they mean even if gravitational and quantum effects are negligible). These claims are obviously very radical. Others, like Stein (1991), have claimed that ...
PPT2
... leads to an excitation probability P(q) shown right. With increasing pulse duraction the region of excitation is narrowed down. All momenta q except those with q¼0 are excited. By using Blackman pulses a more box like (inverted Fermi profile) of excitation probabilities can be obtained. ...
... leads to an excitation probability P(q) shown right. With increasing pulse duraction the region of excitation is narrowed down. All momenta q except those with q¼0 are excited. By using Blackman pulses a more box like (inverted Fermi profile) of excitation probabilities can be obtained. ...
From optimal state estimation to efficient quantum algorithms
... transform over G, and measure which irreducible representation the state is in (weak Fourier sampling). ...
... transform over G, and measure which irreducible representation the state is in (weak Fourier sampling). ...
Resonant Tunneling Between Quantum Hall Edge States
... leads are one-dimensional, interactions are believed to de-stablize the Fermi liquid, forming a Luttinger liquid. In this case, the tunneling conductance through a point contact is predicted to vanish as a power law of temperature, due to the absence of long-lived singleparticle excitations in the i ...
... leads are one-dimensional, interactions are believed to de-stablize the Fermi liquid, forming a Luttinger liquid. In this case, the tunneling conductance through a point contact is predicted to vanish as a power law of temperature, due to the absence of long-lived singleparticle excitations in the i ...
Quantum Set Intersection and its Application to Associative Memory
... can be done using only one query to a quantum oracle implementing it, while a classical solution would require an exponential number of queries. Another example of the advantage of quantum algorithms over classical ones was presented by Simon (1994), in which a function is known to have the property ...
... can be done using only one query to a quantum oracle implementing it, while a classical solution would require an exponential number of queries. Another example of the advantage of quantum algorithms over classical ones was presented by Simon (1994), in which a function is known to have the property ...
271, 31 (2000) .
... states estimation in the limit as N `. Given infinite copies of n non-orthogonal states, we can discriminate them exactly with probability 1. On the other hand, if we can discriminate n states, we can obtain infinite copies. There are two ways in which an attempt to discriminate between non-orthogon ...
... states estimation in the limit as N `. Given infinite copies of n non-orthogonal states, we can discriminate them exactly with probability 1. On the other hand, if we can discriminate n states, we can obtain infinite copies. There are two ways in which an attempt to discriminate between non-orthogon ...
Size-dependent energy levels of CdTe quantum dots
... for more than 1 h in contrast with the previous report on the microsecond hole burning of CdTe.13 Clear persistent hole burning structures together with the higher-energy satellite structures move with the change of the burning photon energy. The higher-energy satellite structures are considered to ...
... for more than 1 h in contrast with the previous report on the microsecond hole burning of CdTe.13 Clear persistent hole burning structures together with the higher-energy satellite structures move with the change of the burning photon energy. The higher-energy satellite structures are considered to ...
Abstracts Escuela de Fisica Matematica 2015, Universidad de los
... from such partition functions by carrying out the state sum construction on a manifold with boundary. The parameter space of these transfer contains various Hamiltonians of physical interest. The 2D quantum double Hamitlonians of Kitaev can be obtained from such transfer matrices for specific values ...
... from such partition functions by carrying out the state sum construction on a manifold with boundary. The parameter space of these transfer contains various Hamiltonians of physical interest. The 2D quantum double Hamitlonians of Kitaev can be obtained from such transfer matrices for specific values ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.