### Abstract

The promise of more effective computation led to quantum computers, which are supposed to surpass binary, digital computers. This is an outgrowth of the search for dissipation-free computation, in which the bit state is switched 'adiabatically.' Implementations in which the two local minima are at different energy levels are unstable. Using super-symmetric quantum mechanics, we show that natural transitions occur between degenerate eigenstates. Then we can write, quite generally, that the qubit should satisfy the Hamiltonian H = k^{2} > 0, and we associate k with the 'momentum' in Hilbert space. That is, the fundamental structure of the quantum qubit should be that of a quantum plane wave.

Original language | English (US) |
---|---|

Pages (from-to) | 17-21 |

Number of pages | 5 |

Journal | Microelectronic Engineering |

Volume | 63 |

Issue number | 1-3 |

DOIs | |

State | Published - Aug 2002 |

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### ASJC Scopus subject areas

- Hardware and Architecture
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
- Surfaces, Coatings and Films
- Atomic and Molecular Physics, and Optics

### Cite this

*Microelectronic Engineering*,

*63*(1-3), 17-21. https://doi.org/10.1016/S0167-9317(02)00626-3

**Quantum waves - The proper basis for low dissipation quantum computing.** / Ferry, D. K.; Akis, R.; Knezevic, I.

Research output: Contribution to journal › Article

*Microelectronic Engineering*, vol. 63, no. 1-3, pp. 17-21. https://doi.org/10.1016/S0167-9317(02)00626-3

}

TY - JOUR

T1 - Quantum waves - The proper basis for low dissipation quantum computing

AU - Ferry, D. K.

AU - Akis, R.

AU - Knezevic, I.

PY - 2002/8

Y1 - 2002/8

N2 - The promise of more effective computation led to quantum computers, which are supposed to surpass binary, digital computers. This is an outgrowth of the search for dissipation-free computation, in which the bit state is switched 'adiabatically.' Implementations in which the two local minima are at different energy levels are unstable. Using super-symmetric quantum mechanics, we show that natural transitions occur between degenerate eigenstates. Then we can write, quite generally, that the qubit should satisfy the Hamiltonian H = k2 > 0, and we associate k with the 'momentum' in Hilbert space. That is, the fundamental structure of the quantum qubit should be that of a quantum plane wave.

AB - The promise of more effective computation led to quantum computers, which are supposed to surpass binary, digital computers. This is an outgrowth of the search for dissipation-free computation, in which the bit state is switched 'adiabatically.' Implementations in which the two local minima are at different energy levels are unstable. Using super-symmetric quantum mechanics, we show that natural transitions occur between degenerate eigenstates. Then we can write, quite generally, that the qubit should satisfy the Hamiltonian H = k2 > 0, and we associate k with the 'momentum' in Hilbert space. That is, the fundamental structure of the quantum qubit should be that of a quantum plane wave.

UR - http://www.scopus.com/inward/record.url?scp=0036679986&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036679986&partnerID=8YFLogxK

U2 - 10.1016/S0167-9317(02)00626-3

DO - 10.1016/S0167-9317(02)00626-3

M3 - Article

VL - 63

SP - 17

EP - 21

JO - Microelectronic Engineering

JF - Microelectronic Engineering

SN - 0167-9317

IS - 1-3

ER -