How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner
... sure with probability 1 − 2−N that the graphs G1 and G2 are non-isomorphic. By denoting the class of interactive proofs by IP, we have shown that GNI ∈ IP. Interactive proofs further exist for every language in PSPACE (which is assumed to be much larger than NP). In fact, it can be shown [32] that I ...
... sure with probability 1 − 2−N that the graphs G1 and G2 are non-isomorphic. By denoting the class of interactive proofs by IP, we have shown that GNI ∈ IP. Interactive proofs further exist for every language in PSPACE (which is assumed to be much larger than NP). In fact, it can be shown [32] that I ...
Dimension and Illusion - Philsci
... really x-coordinates, so the origins of the two x-coordinates cannot really coincide. If there isn’t really a three-dimensional space, it seems that there’s no ...
... really x-coordinates, so the origins of the two x-coordinates cannot really coincide. If there isn’t really a three-dimensional space, it seems that there’s no ...
Quantum-assisted biomolecular modelling
... like a protein interacting with a drug, or even an entire cell, it is worth considering the nature of computer simulation and what we achieve by its use. Essentially, we are testing our most accurate models of the real world by calculating, in detail, what they predict, and comparing this with our o ...
... like a protein interacting with a drug, or even an entire cell, it is worth considering the nature of computer simulation and what we achieve by its use. Essentially, we are testing our most accurate models of the real world by calculating, in detail, what they predict, and comparing this with our o ...
Quantum Phase Transitions
... end result is seen in the action, which looks like that of a d + 1 Euclidean space-time integral, except that the extra temporal dimension is finite in extent (from 0 to β). As T → 0, we get the same (infinite) limits for a d + 1 effective classical system. This equivalent mapping between a d-dimens ...
... end result is seen in the action, which looks like that of a d + 1 Euclidean space-time integral, except that the extra temporal dimension is finite in extent (from 0 to β). As T → 0, we get the same (infinite) limits for a d + 1 effective classical system. This equivalent mapping between a d-dimens ...
Training Atoms - Max-Planck
... physicists are now able to keep the atom trapped in the resonator for several minutes. “Our record is eight minutes – for our field, that is a short eternity,” says Gerhard Rempe excitedly. “It’s the time light takes to get from the sun to the earth.” The researchers just achieved a further success ...
... physicists are now able to keep the atom trapped in the resonator for several minutes. “Our record is eight minutes – for our field, that is a short eternity,” says Gerhard Rempe excitedly. “It’s the time light takes to get from the sun to the earth.” The researchers just achieved a further success ...
Einstein-Podolsky-Rosen-Bohm laboratory
... A key feature of our test is that it does not rely on any particular property of the state |Φ. For instance, if in a laboratory EPRB experiment we find that E1 (a, b) shows a dependence on b that exceeds five times the standard deviation, this dependence cannot be attributed to |Φ deviating from t ...
... A key feature of our test is that it does not rely on any particular property of the state |Φ. For instance, if in a laboratory EPRB experiment we find that E1 (a, b) shows a dependence on b that exceeds five times the standard deviation, this dependence cannot be attributed to |Φ deviating from t ...
The Polynomial Method in Quantum and Classical
... 0 otherwise Lemma (following Beals et al.): If a quantum algorithm makes T queries to f, the probability p(f) that it accepts is a degree-2T polynomial in the (x,h)’s ...
... 0 otherwise Lemma (following Beals et al.): If a quantum algorithm makes T queries to f, the probability p(f) that it accepts is a degree-2T polynomial in the (x,h)’s ...
Here
... that Gromov-Witten invariants are invariant under deformations of the complex structure). However, there is no C∗ -equivariant deformation to an affine space, and in fact the C∗ -equivariant quantum cohomology is non-trivial, as we will see. ...
... that Gromov-Witten invariants are invariant under deformations of the complex structure). However, there is no C∗ -equivariant deformation to an affine space, and in fact the C∗ -equivariant quantum cohomology is non-trivial, as we will see. ...
56 COPYRIGHT 2006 SCIENTIFIC AMERICAN, INC.
... different way to build a quantum computer. In their approach the delicate quantum states depend on what are known as topological properties of a physical system. Topology is the mathematical study of properties that are unchanged when an object is smoothly deformed, by actions such as stretching, ...
... different way to build a quantum computer. In their approach the delicate quantum states depend on what are known as topological properties of a physical system. Topology is the mathematical study of properties that are unchanged when an object is smoothly deformed, by actions such as stretching, ...
PDF
... typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are necessary for array accesses, and distinctness checks must be used to ensure i 6= j when applying a binary quantum operation to two qubits i and j. As is ...
... typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are necessary for array accesses, and distinctness checks must be used to ensure i 6= j when applying a binary quantum operation to two qubits i and j. As is ...
A Brief Survey Of Quantum Programming Languages
... typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are necessary for array accesses, and distinctness checks must be used to ensure i = j when applying a binary quantum operation to two qubits i and j. As is ...
... typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are necessary for array accesses, and distinctness checks must be used to ensure i = j when applying a binary quantum operation to two qubits i and j. As is ...
On Gravity`s role in Quantum State Reduction
... the E a r t h to move by a very tiny amount, so as to allow the mass centre to remain fixed; and since the E a r t h is so very much more massive than the lump, we can consider t h a t in practice the Earth does not move at all. The presence of the E a r t h in these considerations allows us to circ ...
... the E a r t h to move by a very tiny amount, so as to allow the mass centre to remain fixed; and since the E a r t h is so very much more massive than the lump, we can consider t h a t in practice the Earth does not move at all. The presence of the E a r t h in these considerations allows us to circ ...
