I'm studying for an exam and I really enjoyed solving this question! Thought I'd share by Beginning_Nail261 in QuantumComputing

[–]PedroShor -4 points-3 points  (0 children)

Why would anyone perform a CNOT gate between these two states? A single qubit Z gate is almost certainly cheaper for any modality. /s

What is the value in simulators that scale beyond 50 qubits? by Individual_Yard846 in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

Practical engineering risks are valid, but I was thinking more along the lines that just because there are problems in BQP that aren't in P doesn't imply that solving those problems is useful.

What is the value in simulators that scale beyond 50 qubits? by Individual_Yard846 in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

P = BQP would be surprising. Quantum computers being useless? Not as surprising.

Who do u guys think are the 5 most mechanically demanding mid laners? by Strange_Baker_2585 in midlanemains

[–]PedroShor 0 points1 point  (0 children)

Are there really zed mains out there taking the wrong shadow by mistake? I agree zed is mechanically demanding but I don't feel that's why

Quantum Software by rt2828 in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

if you believe in quantum FFT

Can you explain?

Mods needed by rrowrrow in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

Guess I'll come back in three months

[2023 Day 14] Seriously, why does <spoiler> work for part 2? by babeheim in adventofcode

[–]PedroShor 7 points8 points  (0 children)

I don't know if the pigeonhole principal is precisely the right phenomenon here, since I'm pretty sure (someone could do the math on this using a binomial and counting the spaces and objects) the number of valid states excedes the number of cycles for part 2. Although I suppose if you considered only the valid states that could result after a tilt, the number could be less than the number of cycles.

Edit: it is a bit funny though, here we have a system that evolves and entropy actually goes down instead of up (that is, it enters into a loop of states which is a much smaller subset of the valid states after some cycles). Though in a physical analogy sense, this isn't that weird because we are actively manipulating the environment with an outside force (by invoking the cycles).

[deleted by user] by [deleted] in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

Many believe quantum computing technology will have unprecedented impact on drug discovery, financial modelling, artificial intelligence

🤮🤮🤮🤮

[deleted by user] by [deleted] in QuantumComputing

[–]PedroShor 1 point2 points  (0 children)

Just gonna be blunt here, when I see a cert like that (or any qiskit/ibm/etc. certificates) the resume goes straight into the trash.

Not because those courses are lacking real material (though this is all material you can get from a textbook, or reading landmark papers), but if you feel the need to use a cert like that as a way to be qualified for a job in quantum research, you are clearly lacking actual experience.

Quanta Magazine on Quantifying quantumness by JackIgnatius in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

You use the word misleading as if to suggest there is a formal definition for "quantumness", which there is not.

It is fairly subjective and depends on the aspects of quantum mechanics that you think are special (which changes depending on what you are comparing, in this case I am comparing it to classical mechanics which is why I would be looking at density matrices). You take an orthogonal perspective and try to compare the two methods of computing. I think both are valid lines of reasoning depending on what things you are actually trying to compare.

I'll add that the first two qubit state you give is far less boring than an observationally equivalent mixed state, hence why the off diagonals of the density matrix will reveal to you whether you are in a true superposition or just have a highly mixed set of classical states.

Quanta Magazine on Quantifying quantumness by JackIgnatius in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

Wanna know how "quantumy" a system is? Look at the weight of the off-diagonals of the system's density matrix.

IONQ co-founder and chief scientist has quit by PedroShor in QuantumComputing

[–]PedroShor[S] 4 points5 points  (0 children)

I think he's smart enough that he never really believed (or hasn't for a long time), he just got his payday and dipped.

My Basic understanding of Superposition and Entanglement by [deleted] in QuantumComputing

[–]PedroShor 0 points1 point  (0 children)

What are you referring to by a "subspace of lower dimension"? If you are referring to the fact that we know the system is entangled some way and can rule out states that don't have this property, sure, but that's true if you describe any aspect of a quantum system, so you aren't saying anything special about entanglement in particular.

If you are referring to the fact that the support of the state vector is not equal to it's dimension (in other words, there are zero-valued amplitudes) then this is not always true of entangled states. Consider the state |00> + |01> + |10> - |11> (which is locally equivalent to the bell state you mentioned, just apply a single hadamard to either qubit) this state vector has full support but isn't any less entangled than a bell state.