Quantum Computing Stack Exchange Community Digest

Top new questions this week:

Base codes with transversal non-Clifford - why not?

A leading approach to circumventing the Eastin-Knill theorem involves using stabilizer codes which support a transversal implementation of the full Clifford group, and obtaining universal gateset via ...

error-correction clifford-group fault-tolerance hadamard state-injection-model  
user avatar asked by Curious_non_expert Score of 3
user avatar answered by DaftWullie Score of 4

stim: why would order of CNOT operations affect detectors

I have two circuits (below) : first works fine (no complaints from stim); second comes back with a "non-deterministic detector" error. The difference between the two circuits is that the ...

simulation stim  
user avatar asked by unknown Score of 1
user avatar answered by AG47 Score of 1

Why is the fastest quantum time complexity of unstructured search O(sqrt(n))?

Recently, I have watched video on 3Blue1Brown about Grover's algorithm. He give an example that: To find a secret number in the range from 0 to n−1, you can query a hidden function that returns “true”...

grovers-algorithm complexity-theory superposition  
user avatar asked by Henry Tom Score of 1
user avatar answered by Craig Gidney Score of 1

Greatest hits from previous weeks:

How does bra-ket notation work?

Quantum algorithms frequently use bra-ket notation in their description. What do all of these brackets and vertical lines mean? For example: $|ψ⟩=α|0⟩+β|1⟩$ While this is arguably a question about ...

terminology-and-notation  
user avatar asked by Ella Rose Score of 47
user avatar answered by Sir Cornflakes Score of 28

Error: cannot import name 'BaseBackend' from 'qiskit.providers'

when I try to use a quantum instance I get the error below. I'm using qiskit 0.37.0 and qiskit-aqua 0.9.5. Any hint suggested? Thanks in advance ...

qiskit  
user avatar asked by Andrea Mameli Score of 1
user avatar answered by Garvit7 Score of 2

Density matrices for pure states and mixed states

What is the motivation behind density matrices? And, what is the difference between the density matrices of pure states and density matrices of mixed states? This is a self-answered sequel to What&#...

quantum-state density-matrix  
user avatar asked by Sanchayan Dutta Score of 22
user avatar answered by DaftWullie Score of 18

Why does a Hamiltonian have to be Hermitian?

Starting from: $$ -i\hbar \frac{d|\psi⟩}{dt} = H|\psi⟩ $$ I was able to do some working to prove that $U$ in the corresponding discrete representation $$ U(t_1,t_2) = exp\frac{-iH(t_2-t_1)}{\hbar} $...

quantum-state  
user avatar asked by Alexander Soare Score of 13
user avatar answered by Jonathan Trousdale Score of 5

Are there emulators for quantum computers?

Is there any way to emulate a quantum computer in my normal computer, so that I will be able to test and try quantum programming languages (such as Q#)? I mean something that I can really test my ...

emulation  
user avatar asked by Michel Gokan Khan Score of 79
user avatar answered by Craig Gidney Score of 30

CNOT expressed with CZ and H gates by taking into account HZH =X

From this link: Where equation 1 is: I can probably brute-force this by explicitly calculating this quantum circuit's effective 4x4 matrix and seeing that its equivalent to this teleportation ...

quantum-gate gate-synthesis pauli-gates  
user avatar asked by Steven Sagona Score of 4
user avatar answered by Davit Khachatryan Score of 4

What is the difference between a relative phase and a global phase? In particular, what is a phase?

I know that $re^{i\theta} = x + iy$ for any complex number $x + iy$ by Euler's formula. How do you calculate relative and global phase?

quantum-state  
user avatar asked by LeWoody Score of 34
user avatar answered by Siddhant Singh Score of 37
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