User glS

39 votes

2 answers

5k views

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

asked Mar 17, 2018 at 2:26

33 votes

5 answers

1k views

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

complexity-theory speedup quantum-advantage

asked Mar 15, 2018 at 13:58

22 votes

2 answers

4k views

What is the difference between transmon and Xmon qubits?

physical-qubit architecture superconducting-quantum-computing

asked Mar 31, 2018 at 16:20

20 votes

1 answer

1k views

What protocols have been proposed to implement quantum RAMs?

quantum-memory

asked Mar 14, 2018 at 20:48

20 votes

4 answers

1k views

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

algorithm speedup quantum-fourier-transform

asked May 3, 2018 at 19:38

17 votes

2 answers

440 views

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

speedup annealing

asked Mar 15, 2018 at 13:27

14 votes

4 answers

927 views

How should different quantum computing devices be compared?

architecture technical-standards nisq

asked Mar 21, 2018 at 23:09

14 votes

5 answers

583 views

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

error-correction fault-tolerance

asked Mar 27, 2018 at 17:09

12 votes

1 answer

524 views

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

quantum-gate architecture physical-realization hamiltonian-simulation dynamics

asked Mar 22, 2018 at 11:54

12 votes

1 answer

956 views

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

speedup fault-tolerance

asked Aug 12, 2018 at 20:34

11 votes

2 answers

149 views

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

simulation

asked Jun 12, 2018 at 20:23

10 votes

1 answer

293 views

What kinds of ions do trapped ion quantum computers use?

physical-realization architecture experiment ion-trap-quantum-computing

asked Mar 29, 2018 at 13:53

10 votes

2 answers

917 views

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

fidelity state-space-geometry

asked Jan 24, 2020 at 13:20

9 votes

1 answer

513 views

Does the trace distance have a geometric interpretation?

quantum-state bloch-sphere state-space-geometry trace-distance

asked Nov 7, 2019 at 13:02

9 votes

2 answers

479 views

Does quantum control allow to implement any gate?

quantum-gate quantum-control

asked Mar 31, 2018 at 18:19

9 votes

1 answer

260 views

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

quantum-state bloch-sphere state-space-geometry

asked Oct 5, 2019 at 10:09

9 votes

2 answers

302 views

Does the symmetric logarithmic derivative operator have a geometric interpretation?

quantum-fisher-information quantum-metrology metrics

asked Jun 24, 2021 at 18:40

7 votes

0 answers

225 views

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

quantum-operation kraus-representation

asked Aug 18, 2021 at 16:58

7 votes

0 answers

48 views

Construction of optimal ensemble to show quantum steerability

entanglement nonclassicality steering

asked Feb 12, 2019 at 13:10

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 $\alpha_i\in\mathbb C$?

quantum-state mathematics

asked Nov 9, 2019 at 15:22

7 votes

1 answer

127 views

Understanding Hardy's proof of "nonlocality without inequalities"

non-locality nonclassicality

asked Jun 14, 2020 at 16:58

7 votes

4 answers

488 views

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

resource-request bell-experiment non-locality

asked Jan 14, 2020 at 20:09

7 votes

2 answers

283 views

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

quantum-state tomography shadow-tomography

asked Nov 30, 2020 at 20:01

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?

quantum-state entanglement

asked Sep 30, 2020 at 0:19

6 votes

2 answers

410 views

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

measurement notation povm

asked Mar 10, 2021 at 13:54

6 votes

1 answer

256 views

What are examples of extremal non-projective POVMs?

measurement quantum-operation povm

asked May 5, 2021 at 0:13

6 votes

2 answers

393 views

What is a separable decomposition for the Werner state?

entanglement mathematics ppt-criterion werner-states

asked Apr 13, 2020 at 8:20

6 votes

3 answers

392 views

What does the adjoint of a channel represent physically?

quantum-operation

asked Jul 15, 2020 at 23:29

6 votes

1 answer

117 views

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

quantum-state tomography mub

asked Aug 14, 2020 at 9:58

6 votes

1 answer

78 views

Are inseparable states with positive partial transpose nonlocal?

entanglement non-locality nonclassicality partial-transpose

asked Sep 10, 2019 at 16:06

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106 Questions

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

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

What is the difference between transmon and Xmon qubits?

What protocols have been proposed to implement quantum RAMs?

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

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

How should different quantum computing devices be compared?

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

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

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

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

What kinds of ions do trapped ion quantum computers use?

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

Does the trace distance have a geometric interpretation?

Does quantum control allow to implement any gate?

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

Does the symmetric logarithmic derivative operator have a geometric interpretation?

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

Construction of optimal ensemble to show quantum steerability

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

Understanding Hardy's proof of "nonlocality without inequalities"

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

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

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?

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

What are examples of extremal non-projective POVMs?

What is a separable decomposition for the Werner state?

What does the adjoint of a channel represent physically?

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

Are inseparable states with positive partial transpose nonlocal?