Deconfined Quantum Criticality
... time are connected in phase transition. This exponent characterizes an temporal length scale, in addition to the divergent length scale in the classical system. This equivalence can be clearly understood by looking at the quantum partition function. By mapping the temperature of the system to the im ...
... time are connected in phase transition. This exponent characterizes an temporal length scale, in addition to the divergent length scale in the classical system. This equivalence can be clearly understood by looking at the quantum partition function. By mapping the temperature of the system to the im ...
Holographic Quantum Error Correcting Codes - Adrian Franco
... any collection of them) will be a quantum system that will find itself in a particular state. This state contains all the information about every degree of freedom of the system (such as the position of a particle, or its magnetic moment) and belongs to a set of states that must have a particular st ...
... any collection of them) will be a quantum system that will find itself in a particular state. This state contains all the information about every degree of freedom of the system (such as the position of a particle, or its magnetic moment) and belongs to a set of states that must have a particular st ...
Experimental Creation and Measurement of Motional Quantum
... nonclassical character including thermal, number, coherent, squeezed, and \Schrodinger cat" states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner-function. Our techniques allow well controlled expe ...
... nonclassical character including thermal, number, coherent, squeezed, and \Schrodinger cat" states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner-function. Our techniques allow well controlled expe ...
stringcos2012-final Jae Weon Lee
... 3) There always should be correlated bits which have smaller information than bit size ex) Assume combination of two bits B1and B2 which is decribed by b such that both of (B1 , B2 ) (1, 0) and (B1 , B2 ) (0,1) corresponds to b 1 Outside observer can not distinguish two cases. Thus statistical ...
... 3) There always should be correlated bits which have smaller information than bit size ex) Assume combination of two bits B1and B2 which is decribed by b such that both of (B1 , B2 ) (1, 0) and (B1 , B2 ) (0,1) corresponds to b 1 Outside observer can not distinguish two cases. Thus statistical ...
Quantum Computing and Parallel (Multicore) Processing
... the qubit choose to collapse into? Well the choice is made randomly, but the probability of collapsing into base state |0⟩ or base state |1⟩ is determined by the relative amounts of each base state present in the mix. For example in the case of the H-Gate followed by the X-gate discussed above, the ...
... the qubit choose to collapse into? Well the choice is made randomly, but the probability of collapsing into base state |0⟩ or base state |1⟩ is determined by the relative amounts of each base state present in the mix. For example in the case of the H-Gate followed by the X-gate discussed above, the ...
Some Quantum Computational Circuits
... the qubit choose to collapse into? Well the choice is made randomly, but the probability of collapsing into base state |0⟩ or base state |1⟩ is determined by the relative amounts of each base state present in the mix. For example in the case of the H-Gate followed by the X-gate discussed above, the ...
... the qubit choose to collapse into? Well the choice is made randomly, but the probability of collapsing into base state |0⟩ or base state |1⟩ is determined by the relative amounts of each base state present in the mix. For example in the case of the H-Gate followed by the X-gate discussed above, the ...
2015_0042_Quantum Robot = CSP = Quantum Emotional
... • Each of the developed by us methods can be transformed to an adiabatic quantum program and run on Orion. • We developed logic minimization methods to reduce the graph that is created in AQC to program problems such as Maximum Clique or SAT. • This programming is like on “assembly level” but with t ...
... • Each of the developed by us methods can be transformed to an adiabatic quantum program and run on Orion. • We developed logic minimization methods to reduce the graph that is created in AQC to program problems such as Maximum Clique or SAT. • This programming is like on “assembly level” but with t ...
Quantum mechanics as a representation of classical conditional
... 1. Measurement and state preparation are different things. 2. States refer to ensembles not to individual systems. 3. In a series of papers Band and Park provided means to “empirically” specify the state of a system: (a) If dim H = 2, then any three noncommuting self-adjoint operators suffice to spe ...
... 1. Measurement and state preparation are different things. 2. States refer to ensembles not to individual systems. 3. In a series of papers Band and Park provided means to “empirically” specify the state of a system: (a) If dim H = 2, then any three noncommuting self-adjoint operators suffice to spe ...
MATHEMATICAL HISTORY OF WAVE AND MATRIX QUANTUM
... discovered a discontinuous phenomenon totally unknown to classical physics. The energy of vibrating systems could not change continuously, but only in such a way that it always remained equal to an integral number of so-called energy-quanta. The proportionality factor had to be regarded as a new uni ...
... discovered a discontinuous phenomenon totally unknown to classical physics. The energy of vibrating systems could not change continuously, but only in such a way that it always remained equal to an integral number of so-called energy-quanta. The proportionality factor had to be regarded as a new uni ...
Quantum Information Chapter 10. Quantum Shannon Theory
... of information in bits; thus if no base is indicated, it will be understood that the base is 2 unless otherwise stated. Adopting this convention in the expression for H(p), the number of typical strings is of order 2nH(p) . To convey essentially all the information carried by a string of n bits, it ...
... of information in bits; thus if no base is indicated, it will be understood that the base is 2 unless otherwise stated. Adopting this convention in the expression for H(p), the number of typical strings is of order 2nH(p) . To convey essentially all the information carried by a string of n bits, it ...
PT -Symmetric Models in Classical and Quantum Mechanics
... from the theory of integrable systems. The class of Hamiltonians is clearly not Hermitian, but posesses an antilinear PT symmetry—invariance under simultaneous space and time reversal. On this basis it was proposed that Hermiticity be replaced withthe weaker requirement of space-time reflection inva ...
... from the theory of integrable systems. The class of Hamiltonians is clearly not Hermitian, but posesses an antilinear PT symmetry—invariance under simultaneous space and time reversal. On this basis it was proposed that Hermiticity be replaced withthe weaker requirement of space-time reflection inva ...
Fundamental Theories of Physics
... impossible to obtain some knowledge then it becomes apparent that cosmology on various accounts represents a frontier of any natural science. Firstly, universe encompasses all about which knowledge could possibly be obtained, and it is therefore a border for science, which occupies itself with what ...
... impossible to obtain some knowledge then it becomes apparent that cosmology on various accounts represents a frontier of any natural science. Firstly, universe encompasses all about which knowledge could possibly be obtained, and it is therefore a border for science, which occupies itself with what ...
Multiphoton adiabatic rapid passage: classical transition induced by separatrix crossing
... chirp, they suggested a direct 10-photon transition but with a much smaller chirp (roughly 500 MHz compared to 5 GHz) that goes from low to high frequency. Since the transition is not single-photon resonant, a larger field strength is needed for the transition. The results of their measurement clear ...
... chirp, they suggested a direct 10-photon transition but with a much smaller chirp (roughly 500 MHz compared to 5 GHz) that goes from low to high frequency. Since the transition is not single-photon resonant, a larger field strength is needed for the transition. The results of their measurement clear ...
The Need for Structure in Quantum Speedups
... Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions f for which R(f ) and Q(f ) are both tiny but D(f ) is huge. As an example, consider the Deutsch-Jozsa problem [17]: given a B ...
... Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions f for which R(f ) and Q(f ) are both tiny but D(f ) is huge. As an example, consider the Deutsch-Jozsa problem [17]: given a B ...
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.