Earlier quoted context omitted.
Schrodinger's cat in unopened box is 1 qubit = it's alive and dead at the same time. When the box is opened to observe the result, the quantum state "decoheres" - decays to 1 bit result. Now imagine 53 such boxes, interconnected by quantum gates. The 53 qubits combined are in all of 2^53 states at once. The gates can be set up such that some combinations like "cat 1 alive", "cat 2 dead", etc. are much more likely res…
I don’t think the cat thing helps to explain this, especially with the finality association of “dead”.
Scott’s Supreme Quantum Supremacy FAQ
21–30 of 215 posts
Re: Scott’s Supreme Quantum Supremacy FAQ
#22My cat can behave as a cat would be expected to behave. And if we verify the measurements of her behaviour using a classical computing cluster - to make sure her behaviour really falls within the distribution of expected cat behaviour - thats a very complicated calculation that will take many processor-days. But my cat can just do that stuff in real time. Has my cat achieved Quantum Supremacy, and is there a trophy o…
That sounds like question 12 from the FAQ ;)
1 - cat having its ears tickled
2 - cat watching something move under a sheet that might be a mouse
3 - cat waiting for tin of cat food to be opened
4 - cat wanting to get through a door
etc etc up to 'N'
So a “challenger” generates a random number C between 1 and N, and the challenger then sends C to me and my cat, and I apply the appropriate 'input' to my cat, tickling her ears or openeing a tin of food or whatever, to get her into the correct mode. We then measure her behaviour and then fire up our cluster of computers and run the simulation and then wait for a few months for the numbers to get crunched to verify if the cats behaviour was within expected probability distribution for C.
Re: Scott’s Supreme Quantum Supremacy FAQ
#23Earlier quoted context omitted.
I'm in the same boat. A qubit can have more than the two states that a transistor can have, got it. Okay, now what can we do with that? "crack encryption by simulating a state!" yeah but what? is that something I should be concerned about now? "hahaha no no no silly normie we'd need two thousand qubits for that, this machine only has 53!" oooookay, and you did that number in your head, how??? "we just solved the firs…
Since we're looking at Scott Aaronson, you might want to check out "Quantum Computing Since Democritus". It gives a good explanation of the math behind qubits and how they can be used. Best intro I know of.
Re: Scott’s Supreme Quantum Supremacy FAQ
#24Earlier quoted context omitted.
I don’t think the cat thing helps to explain this, especially with the finality association of “dead”.
It can't really be explained, we kind of accept it works like it has been in both states at once until the box was opened. Similarly, we don't really know how to explain how particles travel by both slits at once in the double-slit experiment.
“A new ontological category”.
What’s the problem?
Re: Scott’s Supreme Quantum Supremacy FAQ
#25Preface: I know nothing about quantum computing. What exactly is a qubit? I'm not asking what does it mean, because I know there's superpositions and all that jazz, but as in...like, in an electronic circuit, what is a qubit? Is it made out of logic gates? Which ones? If we can make one qubit, can't we just make a bunch of them by copy and pasting circuits similar to how we used vacuum tubes in the 60s and 70s? How c…
There are several reasons it doesn't scale easily to more qubits, but you can imagine that you don't want the chip to be large (must be cooled to 25mK!) but the qubits should be spaced quite far apart so they don't influence each other. Also, it's not a very simple circuit, so the layout of the transmission lines ("wire on a chip") becomes difficult to manage. The last problem also scales badly with the number of qubits (the middle qubit becomes progressively harder to reach).
There is a paragraph in the (leaked) paper that describes their chip:
> In a superconducting circuit, conduction electrons condense into a macroscopic quantum state, such that currents and voltages behave quantum mechanically [2, 30]. Our processor uses transmon qubits [6], which can be thought of as nonlinear superconducting resonators at 5 to 7 GHz. The qubit is encoded as the two lowest quantum eigenstates of the resonant circuit. Each transmon has two controls: a microwave drive to excite the qubit, and a magnetic flux control to tune the frequency. Each qubit is connected to a linear resonator used to read out the qubit state [5].
If you want a physical picture, check out [6]: https://arxiv.org/abs/cond-mat/0703002
edit: source [6] is more appropriate and open to access
Re: Scott’s Supreme Quantum Supremacy FAQ
#26Earlier quoted context omitted.
That sounds like question 12 from the FAQ ;)
Ah yes, indeed. So it hinges on whether my cat is programmable. Well as it happens my cat has a number N of programmable modes: 1 - cat having its ears tickled 2 - cat watching something move under a sheet that might be a mouse 3 - cat waiting for tin of cat food to be opened 4 - cat wanting to get through a door etc etc up to 'N' So a “challenger” generates a random number C between 1 and N, and the challenger then…
If you can solve complex computational problems faster than a cat-sized computer by carefully arranging tins of cat food, it would definitely be fair to say your cat computational supremacy is a significant achievement.
Re: Scott’s Supreme Quantum Supremacy FAQ
#27Earlier quoted context omitted.
Ah yes, indeed. So it hinges on whether my cat is programmable. Well as it happens my cat has a number N of programmable modes: 1 - cat having its ears tickled 2 - cat watching something move under a sheet that might be a mouse 3 - cat waiting for tin of cat food to be opened 4 - cat wanting to get through a door etc etc up to 'N' So a “challenger” generates a random number C between 1 and N, and the challenger then…
"Programmable" in this context would mean that you can encode complex computational problems into your cat's behavior. The idea is to distinguish a cat that can only calculate cat behavior (which is of course a very easy problem) from a cat that could eventually be engineered to calculate whatever you want. If you can solve complex computational problems faster than a cat-sized computer by carefully arranging tins of…
Re: Scott’s Supreme Quantum Supremacy FAQ
#28Earlier quoted context omitted.
"Programmable" in this context would mean that you can encode complex computational problems into your cat's behavior. The idea is to distinguish a cat that can only calculate cat behavior (which is of course a very easy problem) from a cat that could eventually be engineered to calculate whatever you want. If you can solve complex computational problems faster than a cat-sized computer by carefully arranging tins of…
Google's device is not encoding complex computational problems. Its just being told to arrange its qbits into a random series of gates. Could it do the Fizz Buzz algorithm? Or output the Fibonacci sequence? If not, then in what way is it programmable?
I'm not sure how to evaluate the question of whether it could do the Fizz Buzz algorithm. Could it run fizzbuzz.c? No, it doesn't have an OS. Could it perform a sequence of operations isomorphic to "count to 100 by 3s and 5s"? It sounds like Aaronson's answer would be yes, but I think you'll be skeptical (and I am too) about whether that really means anything.
Re: Scott’s Supreme Quantum Supremacy FAQ
#29Preface: I know nothing about quantum computing. What exactly is a qubit? I'm not asking what does it mean, because I know there's superpositions and all that jazz, but as in...like, in an electronic circuit, what is a qubit? Is it made out of logic gates? Which ones? If we can make one qubit, can't we just make a bunch of them by copy and pasting circuits similar to how we used vacuum tubes in the 60s and 70s? How c…
A bit is like a boolean type, has the values of true and false. Or you treat those values as 0 or 1, then gather a bunch of bits to build useful numbers.
A qubit is like a pair such that these numbers MUST satisfy the following constraints:
pair.left^2 + pair.right^2 = 1
pair.left and pair.right can be any complex number
Why such a composite type with weird constraints you may ask? Because that's how properties of really small particles behave in the real world. So the hope is, maybe if we can build our software using this weird data type called qubit, we can implement computation on quantum hardware without abstracting every problem using a dump type like a boolean or its aliases/collections.Remember that classical computers use a clock to flip bits over time.
A similar quantum computer would manipulate qubits instead.
A bit has the storage capacity of 2 distinct bits of information.
A qubit has the storage capacity of 2 complex numbers, which corresponds to 4 floats, which is at least 16*8 bits of information if we are conservative about our assumptions.
> Is it made out of logic gates?
Kind of. Most of the current logic gates are built with semiconductors. It means by applying different voltages/currents/flux etc to different parts of a solid material, we can alter what we measure in some other part of the same material.
A quantum logic gate uses the same principle but in order to achieve the desired speed and storage advantages, it uses an object with a measurable property that at least approximately behaves like a quantum mechanical object. Common semiconductors are too crowded of atoms in terms of their body parts to make good quantum materials. They touch to each other and are almost always exposed to air. Their running temperatures are undesirably high.
A really dark (literally without a single photon) vacuum chamber that holds a really small amount of floating matter in the middle, frozen with lasers up to 0.000...1 Kelvin would make a good example of a stable but expensive qubit. We can measure this qubit by destroying its state, i.e by applying a magnetic field and measuring the emitted photon's location, polarization or frequency. The problem is, copy pasting this device to build a circuit is really hard due to logistics and auxiliary machinery required to keep all the state stable.
> How come our current limit is only around 54 or so?
That's not a fundamental limit but an engineering one, due the issues I mentioned above. The bigger the device gets, the harder to maintain its stable state. The method currently used for reaching this limit really looks like what is used in the 60s. History is repeating itself with a small twist, the running temperature is extremely low this time. Not liquid nitrogen low, but compressing atoms by sniping them from distance via laser on multiple directions low.
There is also one more problem that is unique to quantum computers. You have to measure the same qubit multiple times to be able to read those complex numbers since their values are determined statistically. You either represent a qubit with multiple qubit like devices or you use the same device to try your measurement repeatedly. Each approach comes with its own drawbacks.
> Are qubits, and quantum computers by extension, not even electronic circuits?
Even today, non quantum circuits are sometimes non electronic in some of their parts. Fiber optics, supersonic emitters/receivers and photoelectric sensors are good examples.
To this day, it is not clear whether the first consumer quantum CPU will be entirely electronic or not.
Re: Scott’s Supreme Quantum Supremacy FAQ
#30Preface: I know nothing about quantum computing. What exactly is a qubit? I'm not asking what does it mean, because I know there's superpositions and all that jazz, but as in...like, in an electronic circuit, what is a qubit? Is it made out of logic gates? Which ones? If we can make one qubit, can't we just make a bunch of them by copy and pasting circuits similar to how we used vacuum tubes in the 60s and 70s? How c…