4. Non-Abelian Quantum Hall States
... fermions. In this language, the (zi zj )m factor attaches m vortices to each electron. If m is even, then the underlying electron was a fermion. Attaching an even number of vortices leaves it as a fermion. In contrast, if m was odd then the underlying “electron” was a boson. Attaching an odd number ...
... fermions. In this language, the (zi zj )m factor attaches m vortices to each electron. If m is even, then the underlying electron was a fermion. Attaching an even number of vortices leaves it as a fermion. In contrast, if m was odd then the underlying “electron” was a boson. Attaching an odd number ...
Squeezed light
... Both Alice’s and Bob’s positions are completely uncertain, but at the same time precisely equal, whereas the momenta are precisely opposite. This state is the basis of the famous quantum nonlocality paradox in its original formulation of Einstein, Podolsky and Rosen (EPR) [2]. EPR argued that by cho ...
... Both Alice’s and Bob’s positions are completely uncertain, but at the same time precisely equal, whereas the momenta are precisely opposite. This state is the basis of the famous quantum nonlocality paradox in its original formulation of Einstein, Podolsky and Rosen (EPR) [2]. EPR argued that by cho ...
The Causal Set Approach to Quantum Gravity
... The problem of quantum gravity has become more and more interesting and challenging since the construction of both quantum mechanics and general relativity. In the narrow sense, it is just a problem of finding a method to incorporate these two theories. To solve this problem, many attempts and hypot ...
... The problem of quantum gravity has become more and more interesting and challenging since the construction of both quantum mechanics and general relativity. In the narrow sense, it is just a problem of finding a method to incorporate these two theories. To solve this problem, many attempts and hypot ...
MODULE MAPS OVER LOCALLY COMPACT QUANTUM GROUPS
... 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 L1 (G) as an ideal. It has been shown in the recent work [26, 27, 29] that many important results ...
... 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 L1 (G) as an ideal. It has been shown in the recent work [26, 27, 29] that many important results ...
Quantum Measurement and Control
... conscientiously for the first two chapters, but in subsequent chapters we will become more relaxed about such issues in order to avoid undue notational complexity. The system state, as we have defined it, represents an observer’s knowledge about the system variables. Unless the probability distribut ...
... conscientiously for the first two chapters, but in subsequent chapters we will become more relaxed about such issues in order to avoid undue notational complexity. The system state, as we have defined it, represents an observer’s knowledge about the system variables. Unless the probability distribut ...
Text and script of the play "Incredible Quantum Tablet".
... It can be used as part of a complete stage design that includes the FrontBot, RigthBot and BackBot, as well as other props such as furniture or speakers or lab equipment. 2. RightBot is a vertical wall from playwood on roller wheels. It has some support so it can stand on its own vertically, but in ...
... It can be used as part of a complete stage design that includes the FrontBot, RigthBot and BackBot, as well as other props such as furniture or speakers or lab equipment. 2. RightBot is a vertical wall from playwood on roller wheels. It has some support so it can stand on its own vertically, but in ...
quantum computing for computer scientists
... mathematically using complex Hilbert space, which is a high-dimensional, complete, vector space, using complex numbers and matrices. The matrix notation is concise and compact, but also opaque to non-mathematicians. Second, quantum computation has many new information concepts that do not naturally ...
... mathematically using complex Hilbert space, which is a high-dimensional, complete, vector space, using complex numbers and matrices. The matrix notation is concise and compact, but also opaque to non-mathematicians. Second, quantum computation has many new information concepts that do not naturally ...
Spin squeezing and quantum correlations
... Any normalized spin-s state jψ i of the form (4) is, in general, specified by 4s real independent parameters. The oriented states described above are specified at the most by the three independent Euler angles α ; β and γ . Since 4s > 3, for s 1, there exist states which are not oriented. In other ...
... Any normalized spin-s state jψ i of the form (4) is, in general, specified by 4s real independent parameters. The oriented states described above are specified at the most by the three independent Euler angles α ; β and γ . Since 4s > 3, for s 1, there exist states which are not oriented. In other ...
