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## References

SHOWING 1-10 OF 43 REFERENCES

### Logic of Quantum Mechanics

- Philosophy
- 1976

“When we go far in the direction of the very small, quantum theory says that our forms of thought fail, so that it is questionable whether we can properly think at all”. These words of Bridgman…

### A quantum computer with fixed interaction is universal

- Physics
- 2003

It is proved that a quantum computer with fixed and permanent interaction of diagonal type between qubits proposed in the work quant-ph/0201132 is universal. Such a computer is controlled only by…

### Concept of consciousness in the context of quantum mechanics

- Philosophy
- 2005

Conceptual problems of the quantum theory of measurement are considered, which are embodied in well-known paradoxes and in Bell's inequalities. Arguments are advanced in favor of the viewpoint that…

### Dynamical diffusion as the approximation of one quantum particle dynamics

- Physics
- 2008

The paper contains the proof that the diffusion ensemble of point wise particles with the intensity depending on the grain of spatial resolution serves as the satisfactory approximation of one…

### Dialogue model of quantum dynamics

- PhysicsQuantum Informatics
- 2006

We introduce an original model of quantum phenomena, a model that provides a picture of a "deep structure", an "underlying pattern" of quantum dynamics. We propose that the source of a particle and…

### Fermionic quantum computation

- Physics
- 2000

We define a model of quantum computation with local fermionic modes (LFMs) — sites which can be either empty or occupied by a fermion. With the standard correspondence between the Foch space of m…

### Quantum mechanical hamiltonian models of turing machines

- Physics
- 1982

Quantum mechanical Hamiltonian models, which represent an aribtrary but finite number of steps of any Turing machine computation, are constructed here on a finite lattice of spin-1/2 systems.…

### How behavior of systems with sparse spectrum can be predicted on a quantum computer

- Computer Science, Physics
- 2000

It is shown how the behavior of a system with a sparse spectrum up to time T=( 1−ρ)/14ε can be predicted on a quantum computer with the time complexity t=4/(1−ρ)ε1 plus the time of classical algorithm, where ρ is the fidelity.

### Quantum recognition of eigenvalues, structure of devices, and thermodynamic properties

- Computer Science
- 2001

Quantum algorithms that speed up their classical counterparts are proposed for the following problems: recognition of eigenvalues with a fixed precision, recognition of molecular and electronic…

### Probabilities from Entanglement, Born's Rule from Envariance

- Physics
- 2004

I show how probabilities arise in quantum physics by exploring implications of environment assisted invariance or envariance , a recently discovered symmetry exhibited by entangled quantum systems.…