On 8/7/2019 1:08 AM, Philip Thrift wrote:
On Tuesday, August 6, 2019 at 5:29:04 PM UTC-5, Brent wrote:
On 8/6/2019 11:25 AM, Philip Thrift wrote:
On Tuesday, August 6, 2019 at 1:00:23 PM UTC-5, Brent wrote:
On 8/6/2019 6:38 AM, Bruno Marchal wrote:
If the QC does its task effectively, the output basis qbits
will be put into definite states,
Relatively to the observer, but in the global state, the
observer will inherit the superposition state, by linearity
of the tensor products and of the evolution.
In something like Shor's algorithm there is only one final
state with non-vanishing probability. Yet this is the kind
of algorithm that Deutsch cites as proving there must be many
worlds.
Brent
That there is a multiplicity of /somethings/
https://en.wikipedia.org/wiki/Multiple_histories
<https://en.wikipedia.org/wiki/Multiple_histories>
is the basis for all semantics of quantum computing (by computer
scientists) that I have ever seen.
Same for classical computation...there are lots of states or
functions. Did anyone think there had to be multiple worlds for
the computer to work?
Brent
There is classical parallel hardware, e.g. made with multiple processors.
Parallelism in quantum computers is achieved by parallel "worlds" or
"paths":
Quantum Path Computing
- https://arxiv.org/abs/1709.00735
Quantum circuit dynamics via path integrals: Is there a classical
action for discrete-time paths?
- https://iopscience.iop.org/article/10.1088/1367-2630/aa61ba
But as you note with scare quotes, calling those "worlds" or "paths" is
just metaphorical. They are not worlds you can visit or paths you can
take. They are aspects of mathematical abstractions.
Brent
A “problem of time” in the multiplicative scheme for the n-site hopper
Fay Dowker, Vojtˇech Havlicek, Cyprian Lewandowski, and
Henry Wilkes
-
https://pdfs.semanticscholar.org/39d9/11e25b835ce8d34910c0a9e02f22ef8d4c41.pdf
"Quantum Measure Theory (QMT*) is an approach to quantum mechanics,
based on the path integral, in which quantum theory is conceived of as
a generalized stochastic process."
*
https://pdfs.semanticscholar.org/bfda/1caa5afbbd9e2d6dcff5456325b60b64b909.pdf
The sum-over-histories formulation of quantum computing
- https://arxiv.org/abs/quant-ph/0607151
@philipthrift
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