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The Church-Turing thesis in a quantum world
The Church-Turing thesis in a quantum world

How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner
How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner

... If the initial answer was wrong and the graphs G1 and G2 are actually isomorphic, the prover can in step 3 only guess which graph was chosen in step 1 (since now H could have been derived from either). Hence, after N rounds we can be sure with probability 1 − 2−N that the graphs G1 and G2 are non-is ...
Gauge Theories of the Strong and Electroweak Interactions
Gauge Theories of the Strong and Electroweak Interactions

Quantum Parallelism (The Abstract of a Tutorial)
Quantum Parallelism (The Abstract of a Tutorial)

... are staggering. The immense costs to develop quantum computers could only be justified if new quantum algorithms and applications of quantum computing and communication are discovered. The discovery of new algorithms and applications of quantum computing requires computer scientists to play an incre ...
Quantum error-correction in black holes
Quantum error-correction in black holes

... on A.code So, for any bipartition, the entanglement entropyinformation science, it may b Five qubit alue. Let | i be a perfect state, a A quantum be a subseterror-correcting of spins with |A|  n by a standard notation [[n code mplement of A. Since A is maximally with B, quantum the entangled total ...
Talk(3.1)
Talk(3.1)

The Foundational Significance of Leggett`s Non-Local Hidden
The Foundational Significance of Leggett`s Non-Local Hidden

... as we have seen in the introduction, Laudisa claims that they have no foundational significance whatsoever. Before turning to the investigation of Laudisa’s arguments, I should mention that Leggett’s results have more recently been generalized in several ways [5, 8, 9]. It might thus seem interestin ...
Einstein`s impact on the physics of the twentieth century
Einstein`s impact on the physics of the twentieth century

жгед symbol of the згедй из "! user is denoted by # $иж! , 5 $87!9 A
жгед symbol of the згедй из "! user is denoted by # $иж! , 5 $87!9 A

The quantum phases of matter
The quantum phases of matter

... black hole, and the repulsive electrical forces which push them out, and the resulting state is a superconductor ! ...
John S. Bell`s concept of local causality
John S. Bell`s concept of local causality

... views on (2) have been almost invisible in the literature. (Ref. 24, for example, does not acknowledge Bell’s formulation of local causality, and instead proposes an alternative formulation very different from Bell’s.) It is thus not surprising that many have summarized the implications of Bell’s t ...
Commun. math. Phys. 52, 239—254
Commun. math. Phys. 52, 239—254

... Since all the relevant operators appearing in Equation (4.5) are bounded, (4.5) extends to all φeL2. The adjoint of the corresponding operator equation is (4.3). We now proceed by a limiting process. Let hN{x)=V{x) if |7(x)|^iV and zero otherwise. Note hNeL$ so that (4.3) holds. Then since hn(-Δ + i ...
Flat spin connections in the Teleparallel equivalent of General
Flat spin connections in the Teleparallel equivalent of General

... inertial, it can determine that the measurements of its rulers and clocks are determined by the geometry of a Minkowski spacetime and it will measure that observer B is accelerated. Using the transformation laws of Special Relativity, it will find that the measurements of observer B is not inertial ...
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... Three-point vertices with z-dependent momentum flow ~ z Four-point vertices with z-dependent momentum flow ~ 1 Propagators with z-dependent momentum flow ~ 1/z Leading contributions from diagrams with only three-point vertices and propagators connecting j to l: ~ 1/z (one more vertex than propagato ...
A Glimpse into Symplectic Geometry
A Glimpse into Symplectic Geometry

... An almost complex structure J on M is said to be integrable if it comes from an underlying complex structure on the manifold (as in the Kähler case.) There is a tensor NJ called the Nijenhuis tensor that is made out of the first derivatives of J and vanishes if and only if J is integrable. If the d ...
Alternative Approach to Time Evaluation of Schrödinger Wave
Alternative Approach to Time Evaluation of Schrödinger Wave

... variables/operators are constant and the model offers an equation, TDSWE, for the time evolution of the state vectors/wave functions. Heisenberg Model (HM) is, on the other hand, based on that the wave functions/state vectors are steady whereas the operators/dynamical variables are time dependant an ...
無投影片標題 - Shaw Communications
無投影片標題 - Shaw Communications

... antimatter or antiparticles are also very special and mysterious in another way. This property of antiparticles is that antimatter, unlike the normal particles of our world, cannot be seen in any way. The only way of detecting it is through its gravitational pull.  It is like a mirror world exactly ...
BARRIER PENETRATION AND INSTANTONS J. ZINN - IPhT
BARRIER PENETRATION AND INSTANTONS J. ZINN - IPhT

... been noticed that, formally, barrier penetration has a semi-classical interpretation in terms of classical particles moving in imaginary time (see the discussion at the end of section 1.1). The Euclidean formalism based on calculating the density matrix at thermal equilibrium e−βH , describes formal ...
Powerpoint 8/12
Powerpoint 8/12

... We have only discussed two types of errors, bit flips and phase flips. What about “general” errors? Theorem of digitizing quantum errors: If we can correct errors in some set, then we can correct any linear complex combination of such errors. ...
Identity Rule for Classical and Quantum Theories
Identity Rule for Classical and Quantum Theories

EmQM15-Symposium Introduction-Walleczek-Grössing-10-23-2015
EmQM15-Symposium Introduction-Walleczek-Grössing-10-23-2015

... Reality (macro-level) ...
E4. Free Fall
E4. Free Fall

Alma Mater Studiorum Universit`a degli Studi di Bologna
Alma Mater Studiorum Universit`a degli Studi di Bologna

underdetermination and theory succession from the perspective of
underdetermination and theory succession from the perspective of

... apparently supported by the existence of alternative approaches within the field of quantum gravity, which investigate the reconciliation of quantum physics and gravity without relying on the string theoretical approach. (See e.g. [Rovelli 1998].) Second, string theory at present is a highly incompl ...
Fermi and the Theory of Weak Interactions
Fermi and the Theory of Weak Interactions

... modi¯cation was to replace the vector current of Fermi by an equal mixture of vector (V) and axial vector (A) currents. Vectors and axial vectors behave di®erently when we go from left to right-handed coordinate systems and hence the parity violation. This is the V{A form discovered by Sudarshan and ...
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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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