Comment on “Conservative Quantum Computing”

Conservative quantum computing.

The Wigner-Araki-Yanase theorem shows that conservation laws limit the accuracy of measurement. Here, we generalize the argument to show that conservation laws limit the accuracy of quantum logic operations. A rigorous lower bound is obtained of the error probability of any physical realization of the controlled-NOT gate under the constraint that the computational basis is represented by a comp...

Quantum conservative many-valued computing

In this paper we extend the basic principles and results of conservative logic to include the main features of many-valued logics with a finite number of truth values. Different approaches to many-valued logics are examined in order to determine some possible functionally complete sets of logic connectives. As a result, we describe some possible finite-valued universal gates which realize a fun...

Comment on "quantum games and quantum strategies".

Comment on " Quantum Games and Quantum Strategies " In a recent Letter, Eisert et al. [1] presented a quantum mechanical generalization of Prisoner's Dilemma. In the classical form of this game, rational analysis leads the two players to 'defect' against one-another in a mutually destructive fashion [2]. A central result of Eisert et al.'s Letter is the observation that their quantum variant, i...

On the Computational Complexity of Conservative Computing

Comment on ‘‘Correlation Quantum Dynamics

In a recent Letter, Hu et al. [1] used the timedependent–wave-packet method to calculate the kinetic energy distribution of the D ions of D2 molecules by intense femtosecond laser pulses. Their theoretical results are in surprisingly good agreement with the experimental data reported by Niikura et al. [2]. Their conclusion, that the D ions came from the recollision induced dissociation between ...