Quantum mechanical computers
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As originally conceived, quantum computers act strictly in accordance with U, but at some point a measurement causes quantum state reduction R, so output is definite classical bits.
“As originally conceived, quantum computers would indeed act strictly in accordance with U, but at some point a measurement is made causing a quantum state reduction R (with some randomness normally introduced).Accordingly, the output is in the form of a definite state in terms of classical bits.”
From Consciousness in the universe (2014) · cites this paper as [139]
In the standard picture of quantum computers, information is represented not just as bits of 1 or 0, but during the U process also as quantum superposition of both 1 and 0 together (qubits), with large-scale entanglements among many qubits.
“In the standard picture of quantum computers [137][138][139], information is represented not just as bits of either 1 or 0, but during the U process, also as quantum superposition of both 1 and 0 together (quantum bits or 'qubits') where, moreover, large-scale entanglements among many qubits would also be involved.”
From Consciousness in the universe (2014) · cites this paper as [139]
A CNOT can copy a qubit in the classical computational basis: |b>|0> -> |b>|b> for |b> in {|0>,|1>}.
“For a 2-qubit case, one can use a CNOT for example to copy in the classical computational basis 30 : b j i 0 j i ! b j i b j i, if b j i 2 0 j i; 1 j i f g”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [30]
Some 2-bit-in-1-bit-out functions implemented by a classical neuron require 3 bits to be made reversible by adding a dummy input bit.
“in particular, some of the '2 bits in -1 bit out' functions the neuron can implement require 3 bits to be made reversible in this manner.”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [30]
Classical neurons can be rendered reversible by adding ancillary bits.
“The classical neurons are firstly rendered reversible by adding ancillary bits.”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [30]
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- Authors
- Feynman, R. P.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Feynman, Richard P.
- Venue
- Foundations of Physics
- Published
- 1986-06
- Volume
- 16
- Issue
- 6
- Pages
- 507-531
- ISSN
- 0015-9018 (ISSN-L)
- 1572-9516
- OpenAlex
- W2012206667
- Cited by
- 1,770
- References
- 5
- Citations by year
- 2026: 37 · 2025: 69 · 2024: 63 · 2023: 72 · 2022: 52 · 2021: 72 · 2020: 61 · 2019: 95 · 2018: 55 · 2017: 62 · 2016: 60 · 2015: 63 · 2014: 98 · 2013: 85 · 2012: 65
- FWCI
- 5.82
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Foundations of Physics (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- quantum computing hardware, physical limits of computation, quantum mechanics, quantum computing
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