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glS
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39 votes
2 answers
5k views

How is the oracle in Grover's search algorithm implemented?

33 votes
5 answers
1k views

Are there problems in which quantum computers are known to provide an exponential advantage?

22 votes
2 answers
4k views

What is the difference between transmon and Xmon qubits?

20 votes
1 answer
1k views

What protocols have been proposed to implement quantum RAMs?

20 votes
4 answers
1k views

Why can the Discrete Fourier Transform be implemented efficiently as a quantum circuit?

17 votes
2 answers
440 views

How long does quantum annealing take to find the solution to a given problem?

14 votes
4 answers
927 views

How should different quantum computing devices be compared?

14 votes
5 answers
583 views

Why do error correction protocols only work when the error rates are already significantly low to begin with?

12 votes
1 answer
524 views

How are quantum gates realised, in terms of the dynamic?

12 votes
1 answer
956 views

How are magic states defined in the context of quantum computation?

11 votes
2 answers
149 views

Why does (almost) every pair of Hamiltonians generate, through repeated commutation, the whole space of Hermitian matrices?

10 votes
1 answer
293 views

What kinds of ions do trapped ion quantum computers use?

10 votes
2 answers
917 views

What is the difference between the "Fubini-Study distances" $\arccos|\langle\psi|\phi\rangle|$ and $\sqrt{1-|\langle\psi|\phi\rangle|}$?

9 votes
1 answer
513 views

Does the trace distance have a geometric interpretation?

9 votes
2 answers
479 views

Does quantum control allow to implement any gate?

9 votes
1 answer
260 views

Do pure qudit states lie on a hypersphere in the Bloch representation?

9 votes
2 answers
302 views

Does the symmetric logarithmic derivative operator have a geometric interpretation?

7 votes
0 answers
225 views

How does the invertibility of a quantum map reflect on its Kraus operators?

7 votes
0 answers
48 views

Construction of optimal ensemble to show quantum steerability

7 votes
1 answer
271 views

Why is the probability vector of a uniformly random state $\sum_i\alpha_i|i\rangle$ uniformly random only if $\alpha_i\in\mathbb C$?

7 votes
1 answer
127 views

Understanding Hardy's proof of "nonlocality without inequalities"

7 votes
4 answers
488 views

Are there Bell-like violations that can be observed without collecting statistics?

7 votes
2 answers
283 views

In shadow tomography, how is the state reconstructed from its shadows?

6 votes
2 answers
208 views

Can $|\Psi\rangle\simeq\sum_k |u_k\rangle|v_k\rangle$ be maximally entangled even if $\{|u_k\rangle\}_k,\{|v_k\rangle\}_k$ are not orthonormal?

6 votes
2 answers
410 views

What is the relation between POVMs and observables (as Hermitian operators)?

6 votes
1 answer
256 views

What are examples of extremal non-projective POVMs?

6 votes
2 answers
393 views

What is a separable decomposition for the Werner state?

6 votes
3 answers
392 views

What does the adjoint of a channel represent physically?

6 votes
1 answer
117 views

Why does full state reconstruction require at least $N+1$ MUBs?

6 votes
1 answer
78 views

Are inseparable states with positive partial transpose nonlocal?