### Abstract

The design of any system of quantum logic must take into account the implications of the Landauer limit for logical bits. Useful computation implies a deterministic outcome, and so any system of quantum computation must produce a final deterministic outcome, which in a quantum computer requires a quantum decision that produces a deterministic qubit. All information is physical, and any bit of information can be considered to exist in a physicality represented as a decision between the two wells of a double well potential in which the energy barrier between the two wells must be greater than kT·ln2. Any proposed system of quantum computation that does not result in such a deterministic outcome can only be considered stochastically as a probability distribution (i.e. a wave function). An example of such determinism in a quantum logic system is theorized to exist in the DNA molecule, where the decoherence of quantum decision results in an enantiomeric shift in the deoxyribose moiety that is appropriate to the Landauer limit.

Original language | English (US) |
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Title of host publication | Quantum Information and Computation XII |

Publisher | SPIE |

ISBN (Print) | 9781628410600 |

DOIs | |

State | Published - Jan 1 2014 |

Event | Quantum Information and Computation XII - Baltimore, MD, United States Duration: May 8 2014 → May 9 2014 |

### Publication series

Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 9123 |

ISSN (Print) | 0277-786X |

ISSN (Electronic) | 1996-756X |

### Other

Other | Quantum Information and Computation XII |
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Country | United States |

City | Baltimore, MD |

Period | 5/8/14 → 5/9/14 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

*Quantum Information and Computation XII*[91230B] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9123). SPIE. https://doi.org/10.1117/12.2048531

**Implications of the Landauer limit for quantum logic.** / Mihelic, Fabian.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Quantum Information and Computation XII.*, 91230B, Proceedings of SPIE - The International Society for Optical Engineering, vol. 9123, SPIE, Quantum Information and Computation XII, Baltimore, MD, United States, 5/8/14. https://doi.org/10.1117/12.2048531

}

TY - GEN

T1 - Implications of the Landauer limit for quantum logic

AU - Mihelic, Fabian

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The design of any system of quantum logic must take into account the implications of the Landauer limit for logical bits. Useful computation implies a deterministic outcome, and so any system of quantum computation must produce a final deterministic outcome, which in a quantum computer requires a quantum decision that produces a deterministic qubit. All information is physical, and any bit of information can be considered to exist in a physicality represented as a decision between the two wells of a double well potential in which the energy barrier between the two wells must be greater than kT·ln2. Any proposed system of quantum computation that does not result in such a deterministic outcome can only be considered stochastically as a probability distribution (i.e. a wave function). An example of such determinism in a quantum logic system is theorized to exist in the DNA molecule, where the decoherence of quantum decision results in an enantiomeric shift in the deoxyribose moiety that is appropriate to the Landauer limit.

AB - The design of any system of quantum logic must take into account the implications of the Landauer limit for logical bits. Useful computation implies a deterministic outcome, and so any system of quantum computation must produce a final deterministic outcome, which in a quantum computer requires a quantum decision that produces a deterministic qubit. All information is physical, and any bit of information can be considered to exist in a physicality represented as a decision between the two wells of a double well potential in which the energy barrier between the two wells must be greater than kT·ln2. Any proposed system of quantum computation that does not result in such a deterministic outcome can only be considered stochastically as a probability distribution (i.e. a wave function). An example of such determinism in a quantum logic system is theorized to exist in the DNA molecule, where the decoherence of quantum decision results in an enantiomeric shift in the deoxyribose moiety that is appropriate to the Landauer limit.

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U2 - 10.1117/12.2048531

DO - 10.1117/12.2048531

M3 - Conference contribution

SN - 9781628410600

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Quantum Information and Computation XII

PB - SPIE

ER -