Maze1125 said:
Threesan said:
Maze1125 said:
Even a quantum computer---if it is equivalent to a finite non-quantum computer at least---will not be capable of awareness,
Quantum computers are most definitely
not equivalent to non-quantum computers.
Even a non-deterministic Turing machine can be run on a deterministic Turing machine. Nothing's changed on what is possible, only on what is feasible (by changing some complexity classes). Thus, equivalent.
Each bit in a computer has two possible outcomes.
Each q-bit in a quantum computer has an infinite number of possible outcomes.
Therefore they are not, in any way, equivalent.
By definition a qubit is a quantum representation of a bit, or binary integer. Measuring a qubit has exactly two possible
outcomes: 0 or 1. Anything shifting the alignment away from exactly the angles representing 0 or 1 is error or randomness, and is discarded by the measurement. An n qubit quantum computer will then have 2[sup]n[/sup]
outcomes, not infinite. However, I suspect you may have been thinking not of outcomes, but that somewhere in the process of computation, the (supposed) continuity of some quantum property could be exploited to do something special (not just faster, but, dare I say, magical).
This is no longer a point concerning quantum computing, but the distinction between discrete and analog computing. To exploit the (supposed) continuity of some physical property, we would need infinitely fine measurements, infinitely fine operators, and perfect protection from the rest of the universe. Lacking infinite precision, we can sufficiently (indistinguishably?) approximate analog computation with discrete computation. It may be slower, but it can be done.
Here is my (not impossibly mistaken) intuitive understanding of the operation of quantum computing:
Qubits can be initialized relative to measurement so that there is an equal probability of measuring a 0 or 1. All qubits initialized in this way then collectively have an equal probability of taking on any one of their collective 2[sup]n[/sup] possible values. Subsequent application of an operation will apply to all states in the superposition and eliminate from the initially 2[sup]n[/sup] possible states those states inconsistent with the application of the operation (this is accomplished using entanglement/destructive interference -- the operations by design establish entanglement links without collapsing the superposition). The final measurement will give (ignoring noise) one of the 2[sup]n[/sup] states that is consistent with the operations applied, assuming there is such a state.
That ability to operate on
all 2[sup]n[/sup] states
simultaneously is the power of QC. This can make it
faster for certain tasks, but it doesn't address what is fundamentally possible.
TL;DR & PS
If human awareness had a knob that controlled speed of thought/perception of time, if you turn it up to 110%, you still have awareness. If you turn it down to 90%, or 50% you still have awareness. If you turn it down by a factor of a trillion (or some other obscenely more obscene number) -- still, awareness? Maybe not one that is practical or even meaningful in our existence, but it still is what it is.