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Lecture Notes for Physics 229: Quantum Information and Computation
Lecture Notes for Physics 229: Quantum Information and Computation

Genuine Fortuitousness
Genuine Fortuitousness

Chapter 3: Quantum Computing
Chapter 3: Quantum Computing

Quantum Information Processing: Algorithms, Technologies and
Quantum Information Processing: Algorithms, Technologies and

Quantum Information Processing - wolfgang
Quantum Information Processing - wolfgang

... • The information is usually processed on one and the same quantum register16 realized as an array of qubits,17 i.e. quantum mechanical systems with a preselected simple quantum alternative corresponding to orthonormal state vectors, usually denoted |0i and |1i . • The possible (pure) states of such ...
Decoherence, non-Markovianity and quantum estimation in qubit
Decoherence, non-Markovianity and quantum estimation in qubit

... bath can be a difficult task, or even inappropriate, for example because of the approximations introduced to derive a master equation are too strong to hold in real systems. As a matter of fact, the classical description becomes progressively more reliable as far as the environment has many degrees ...
Annals of Physics Classical impurities and boundary Majorana zero
Annals of Physics Classical impurities and boundary Majorana zero

... terminates it. We study its spectral weight and its response to locally applied external fields. Our main result is the finding summarized in Table 1: the local susceptibility of such an impurity can serve as a probe for Majorana edges modes in the adjacent bulk phase(s). In particular, we find that ...
Computational Methods for Simulating Quantum Computers
Computational Methods for Simulating Quantum Computers

Problems in Number Theory related to Mathematical Physics
Problems in Number Theory related to Mathematical Physics

Engineering a Robust Quantum Spin Hall State in Graphene via
Engineering a Robust Quantum Spin Hall State in Graphene via

Dirac Operators on Noncommutative Spacetimes ?
Dirac Operators on Noncommutative Spacetimes ?

... of the classical Dirac operator, which at first seem equally well motivated and are not obviously equivalent. It is thus not clear which operator we should choose, and that state of affairs certainly is not satisfactory. To improve on it, we will propose an abstract characterization of a Dirac opera ...
Quantum field theory correlators at very short and very long distances
Quantum field theory correlators at very short and very long distances

Leaking Chaotic Systems
Leaking Chaotic Systems

... and therefore it is essential to use the generalized concept of true-time maps (Kaufmann and Lustfeld, 2001), which will be defined in Sec. I.C. We note here that even though our focus and numerical illustrations are on billiards (Hamiltonian systems), the theoretical framework, and many of the spec ...
Computations and structures in sl(n)-link homology
Computations and structures in sl(n)-link homology

... the Grothendieck group of some category, a group action as the consequence of functorial actions on some category, etc. One approach to constructing Khovanov homology begins with Kauffman’s solid-state model for the Jones polynomial. This is gotten by resolving each crossing of a link diagram in eit ...
On the Classical and Quantum Momentum Map
On the Classical and Quantum Momentum Map

... 2.5.3, which gives a generalization of the Marsden-Weinstein reduction to the case of an arbitrary Poisson Lie group action on a Poisson manifold - the results that can be found in the literature are restricted to the case when the Poisson manifold in question is in fact a symplectic manifold. Chapt ...
Quantum Scattering Theory and Applications
Quantum Scattering Theory and Applications

Czech Technical University in Prague Faculty of Electrical
Czech Technical University in Prague Faculty of Electrical

Information Geometric Superactivation of Asymptotic Quantum
Information Geometric Superactivation of Asymptotic Quantum

Geometrical researches on the theory of parallels.
Geometrical researches on the theory of parallels.

Physical Foundations of Quantum Electronics
Physical Foundations of Quantum Electronics

... Apanasevich (1977)], and in many cases the reader will be referred to them. For instance, the present book does not consider the design and parameters of lasers and masers as well as their various applications. The theory of optical resonators and waveguides is presented, in particular, in the Unive ...
Lossless Quantum Data Compression and Secure Direct
Lossless Quantum Data Compression and Secure Direct

... Quantum information theory is the combination of quantum mechanics and information theory. The profit is on both sides: quantum mechanics gains valuable aspects concerning the physical interpretation of the theory, and information theory gains enhanced capabilities of information processing and comm ...
Quantum groups: A survey of de nitions, motivations, and results
Quantum groups: A survey of de nitions, motivations, and results

Defining and detecting quantum speedup
Defining and detecting quantum speedup

... consensus may be time- and community-dependent [14]. In the absence of a consensus about what is the best classical algorithm, we define potential (quantum) speedup as a speedup compared to a specific classical algorithm or a set of classical algorithms. An example is the simulation of the time evol ...
Daniel Adam Roberts - School of Natural Sciences
Daniel Adam Roberts - School of Natural Sciences

For screen - Mathematical Sciences Publishers
For screen - Mathematical Sciences Publishers

... from the Hall–Shirshov basis of the ground Lie algebra by replacing the Lie operation with the skew commutator. The same is valid for the Groebner– Shirshov relations systems. Note that the Hall–Shirshov bases, under the name standard Lyndon bases, for the classical Lie series were constructed by P. ...
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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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