Introduction to Quantum Error Correction and Fault Tolerance
... -- Each of the X operations take the system to orthogonal spaces to see this look at the action on each of the three-qubit blocks. -- A phase-flip maps 0〉 to 0〉 and 1〉 to - 1〉. Since it keeps us within the space which is made up of products of 000〉 and 111〉, all the resulting states are orthog ...
... -- Each of the X operations take the system to orthogonal spaces to see this look at the action on each of the three-qubit blocks. -- A phase-flip maps 0〉 to 0〉 and 1〉 to - 1〉. Since it keeps us within the space which is made up of products of 000〉 and 111〉, all the resulting states are orthog ...
Polarization statistics
... the Stokes operators in the quantum domain. While this characterization may be enough in classical optics, it becomes incomplete in the quantum domain, where higher order correlations are usually crucial. In such a case, the Stokes parameters are not enough or even may become an unsuitable parametri ...
... the Stokes operators in the quantum domain. While this characterization may be enough in classical optics, it becomes incomplete in the quantum domain, where higher order correlations are usually crucial. In such a case, the Stokes parameters are not enough or even may become an unsuitable parametri ...
Can the Schrödinger wave function be associated with a concrete
... mony coupling the wave has also influence on the trajectory leading for example to a quantization of bound states and to a redistribution of probability densities in the detection plane of scattering experiments. Contrary to the phase wave model the guidance or pilot wave concept [14] is based on th ...
... mony coupling the wave has also influence on the trajectory leading for example to a quantization of bound states and to a redistribution of probability densities in the detection plane of scattering experiments. Contrary to the phase wave model the guidance or pilot wave concept [14] is based on th ...
Phase diffusion pattern in quantum nondemolition systems
... is dephasing and it is a natural question to ask about the pattern of diffusion of ‘phases’ in such a situation. Such a question is particularly relevant in the context of a number of practical phase measurement schemes [23, 26]. What is the precise meaning of the quantum mechanical phase? The quant ...
... is dephasing and it is a natural question to ask about the pattern of diffusion of ‘phases’ in such a situation. Such a question is particularly relevant in the context of a number of practical phase measurement schemes [23, 26]. What is the precise meaning of the quantum mechanical phase? The quant ...
Non-relativistic Holography and Renormalization
... as if mathematicians wanted to settle something that had the same nature as Epiminides paradox, who said that “all Cretans are liars”. Being from Crete himself, this puts forth an obvious inconsistency of that statement. Interestingly, four years earlier, physicist Werner Heisenberg had made a bold ...
... as if mathematicians wanted to settle something that had the same nature as Epiminides paradox, who said that “all Cretans are liars”. Being from Crete himself, this puts forth an obvious inconsistency of that statement. Interestingly, four years earlier, physicist Werner Heisenberg had made a bold ...
Mathematical structure of magnons in quantum
... The appearance of spin waves in quantum ferromagnets at low temperatures is one of the most basic physical quantum characteristics of quantum spin systems. It amounts to a boson representation of the low-temperature elementary excitations of a spin system. The basic steps in the understanding of thi ...
... The appearance of spin waves in quantum ferromagnets at low temperatures is one of the most basic physical quantum characteristics of quantum spin systems. It amounts to a boson representation of the low-temperature elementary excitations of a spin system. The basic steps in the understanding of thi ...
Base units of the SI, fundamental constants and
... behind these phenomena, some people still feel uncertain as to whether all possible small parasitical effects have been dealt with. For a physical phenomenon to be used to measure a quantity properly, is directly related to our knowledge of the whole underlying physics. In order to switch to a new d ...
... behind these phenomena, some people still feel uncertain as to whether all possible small parasitical effects have been dealt with. For a physical phenomenon to be used to measure a quantity properly, is directly related to our knowledge of the whole underlying physics. In order to switch to a new d ...
Towards a Tight Finite Key Analysis for BB84
... either X or Z, chosen at random. The X bits will be used to extract a key, while the Z are used to check security. She sends the qubit over a public channel to Bob, while the eavesdropper, Eve, may interfere as she wishes. Bob measures the system randomly either in the X or Z basis. Alice and Bob si ...
... either X or Z, chosen at random. The X bits will be used to extract a key, while the Z are used to check security. She sends the qubit over a public channel to Bob, while the eavesdropper, Eve, may interfere as she wishes. Bob measures the system randomly either in the X or Z basis. Alice and Bob si ...
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS
... conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassical limit is reached for high energies, whereas E → 0 defines the anticlassical limi ...
... conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassical limit is reached for high energies, whereas E → 0 defines the anticlassical limi ...
Spin and Quantum Measurement
... about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representation used in the SPINS software program that you may use to simulate these experiments. The SPINS program allows you to perform all the e ...
... about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representation used in the SPINS software program that you may use to simulate these experiments. The SPINS program allows you to perform all the e ...
Read State-of-the-art Report (pdf file) - FB3
... hinted by Bennett [12], any forward computation (or execution) can be transformed into a reversible one by just keeping an history of all the information overwritten and hence lost (for example a variable update) by the forward computation, and then use this information to reverse (or undo) the forw ...
... hinted by Bennett [12], any forward computation (or execution) can be transformed into a reversible one by just keeping an history of all the information overwritten and hence lost (for example a variable update) by the forward computation, and then use this information to reverse (or undo) the forw ...
Full text in PDF form
... where lp is the Planck length lp = h G=c . The bound (2) includes the gravitational constant G. There are already many discussions of bounds (1) and (2). However these important principles deserve a further study. In this note the number of quantum states inside space region is estimated on the bas ...
... where lp is the Planck length lp = h G=c . The bound (2) includes the gravitational constant G. There are already many discussions of bounds (1) and (2). However these important principles deserve a further study. In this note the number of quantum states inside space region is estimated on the bas ...
Quantification of Linear Entropy for Quantum Entanglement in He, H
... In the Appendix of this paper, we present the detailed results of Eq. (8) in terms of the I4 integrals. In [1,3,4], the authors solved this kind of four-electron integrals by carrying out the 12-dimensional integrals using Monte Carlo multidimensional numerical integration routines. But using such a ...
... In the Appendix of this paper, we present the detailed results of Eq. (8) in terms of the I4 integrals. In [1,3,4], the authors solved this kind of four-electron integrals by carrying out the 12-dimensional integrals using Monte Carlo multidimensional numerical integration routines. But using such a ...
72 063623 (2005) .
... quantum phenomena, in particular, in quantum information processes 关1兴. The realization of Bose-Einstein condensation 共BEC兲 in dilute gases has provided a different tool for such investigations 关2兴. In the other aspect, the instability issue of Bose-Einstein condensation 共BEC兲 has been constantly ad ...
... quantum phenomena, in particular, in quantum information processes 关1兴. The realization of Bose-Einstein condensation 共BEC兲 in dilute gases has provided a different tool for such investigations 关2兴. In the other aspect, the instability issue of Bose-Einstein condensation 共BEC兲 has been constantly ad ...