User Attila Kun

31

votes

4

answers

3k

views

Introductory material for quantum machine learning

Sep 1 '20 at 22:27 glS♦ 14.3k

25

votes

5

answers

3k

views

How to derive the CNOT matrix for a 3-qubit system where the control & target qubits are not adjacent?

quantum-gate mathematics gate-synthesis

Jul 20 at 16:04 Quantum Guy 123 668

17

votes

1

answer

712

views

What are examples of Hamiltonian simulation problems that are BQP-complete?

algorithm complexity-theory simulation bqp hamiltonian-simulation

Sep 4 at 11:48 glS♦ 14.3k

8

votes

1

answer

310

views

Consequences of $MIP^\ast=RE$ Regarding Quantum Algorithms

circuit-construction complexity-theory

Nov 30 at 21:02 Jonathan Trousdale 2,979

8

votes

1

answer

378

views

What is recursive Fourier sampling and how does it prove separations between BQP and NP in the black-box model?

algorithm complexity-theory bqp fourier-sampling

Apr 6 '19 at 15:08 Community♦ 1

8

votes

1

answer

194

views

Nielsen and Chuang's proof for 'approximating arbitrary unitary gates is generically hard'

quantum-gate gate-synthesis nielsen-and-chuang

May 12 '19 at 8:43 Sanchayan Dutta 15k

7

votes

1

answer

198

views

Does the GLOA have any advantage over the Solovay-Kitaev algorithm?

algorithm complexity-theory solovay-kitaev-algorithm

Sep 9 at 15:09 Condo 796

7

votes

3

answers

945

views

Hadamard gate as a product of $R_x$, $R_z$ and a phase

quantum-gate gate-synthesis

Mar 29 '19 at 19:39 Sanchayan Dutta 15k

7

votes

2

answers

401

views

What is the advantage of quantum machine learning over traditional machine learning?

machine-learning quantum-advantage quantum-enhanced-machine-learning

Mar 11 at 10:09 glS♦ 14.3k

6

votes

2

answers

188

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

Oct 2 at 11:00 JSdJ 4,000

6

votes

1

answer

153

views

Bob applies a projector - what happens to eigenvalues of Alice's reduced state?

quantum-state mathematics density-matrix partial-trace projection-operator

Oct 23 at 9:29 Danylo Y 4,395

5

votes

4

answers

117

views

Quantum teleportation and the reality of quantum states

quantum-state teleportation communication foundations

Oct 30 at 20:21 develarist 855

5

votes

1

answer

209

views

Decomposition of any 2-level matrix into single qubit and CNOT gates

quantum-gate gate-synthesis

Oct 23 at 23:38 Attila Kun 419

5

votes

1

answer

275

views

Is there any 'official' list of errata for Nielsen & Chuang?

resource-request nielsen-and-chuang

Jan 25 at 10:59 Victory Omole 1,100

5

votes

1

answer

225

views

Showing that Matrix Inversion is BQP-complete - HHL Algorithm

algorithm complexity-theory hhl-algorithm

Oct 10 '19 at 9:11 Sanchayan Dutta 15k

5

votes

1

answer

192

views

Is Connes' Embedding Problem akin the word problem for finitely presented groups?

mathematics complexity-theory games

Aug 25 '20 at 1:52 Henry Yuen 241

5

votes

1

answer

204

views

How can the Holevo bound be used to show that $n$ qubits cannot transmit more than $n$ classical bits?

quantum-state entropy information-theory

Aug 27 '20 at 12:52 glS♦ 14.3k

4

votes

1

answer

136

views

Is there a proof or example to show that a noiseless subsystem is not necessarily closed under addition?

quantum-state error-correction density-matrix

Sep 2 at 18:16 Condo 796

4

votes

2

answers

674

views

Can classical linear algebra solvers implement quantum algorithms with similar speed-ups?

algorithm classical-computing speedup information-theory

Aug 18 '20 at 8:32 glS♦ 14.3k

4

votes

1

answer

76

views

Adding a phase to qubit: why is it necessary for arbitrary single qubit gate

quantum-gate gate-synthesis

Aug 20 '20 at 19:05 Davit Khachatryan 3,768

4

votes

1

answer

99

views

Can local projections increase entanglement?

quantum-state entanglement quantum-operation

Sep 23 at 12:23 glS♦ 14.3k

4

votes

1

answer

307

views

Proof that any unitary can be written as $U=e^{-iH}$ with $H$ Hamiltonian with bounded norm

complexity-theory hamiltonian-simulation models

Oct 5 at 13:40 glS♦ 14.3k

3

votes

2

answers

92

views

Example of a two-qudit state whose measurement outcomes are independent in one basis but dependent in another

quantum-state entanglement correlations

Aug 28 '20 at 9:02 glS♦ 14.3k

3

votes

1

answer

149

views

How to implement linear combination of two unitary gates in a quantum circuit?

quantum-gate algorithm circuit-construction

Sep 16 at 6:39 DaftWullie 39k

3

votes

1

answer

184

views

How to construct a non-trivial (non-projective) POVM measurement example?

measurement textbook-and-exercises povm

Aug 22 '20 at 8:04 glS♦ 14.3k

2

votes

1

answer

89

views

Nielsen & Chuang Theorem 2.6 Proof

nielsen-and-chuang textbook-and-exercises unitarity

Aug 26 '20 at 23:55 glS♦ 14.3k

2

votes

1

answer

88

views

Is it possible to detect the phase $\pi$ or 0 for the single qubit circuit X H P?

quantum-state programming measurement phase-estimation

Jul 17 '20 at 23:40 Norbert Schuch 4,394

2

votes

1

answer

123

views

N-Qubit Hadamard vs Quantum Fourier Transform

quantum-fourier-transform hadamard simons-algorithm

Jul 23 '20 at 8:21 Martin Vesely 9,230

2

votes

1

answer

40

views

$N(\frac{1}{2},2)=3$ for vectors in a Hilbert Space

quantum-state bloch-sphere

Aug 19 '20 at 7:33 Martin Vesely 9,230

1

vote

1

answer

50

views

How to compute the inverse of a unitary B when it's defined only by B|0⟩=XXXX?

quantum-gate quantum-state

Jul 17 '20 at 11:28 glS♦ 14.3k

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Introductory material for quantum machine learning

How to derive the CNOT matrix for a 3-qubit system where the control & target qubits are not adjacent?

What are examples of Hamiltonian simulation problems that are BQP-complete?

Consequences of $MIP^\ast=RE$ Regarding Quantum Algorithms

What is recursive Fourier sampling and how does it prove separations between BQP and NP in the black-box model?

Nielsen and Chuang's proof for 'approximating arbitrary unitary gates is generically hard'

Does the GLOA have any advantage over the Solovay-Kitaev algorithm?

Hadamard gate as a product of $R_x$, $R_z$ and a phase

What is the advantage of quantum machine learning over traditional machine learning?

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?

Bob applies a projector - what happens to eigenvalues of Alice's reduced state?

Quantum teleportation and the reality of quantum states

Decomposition of any 2-level matrix into single qubit and CNOT gates

Is there any 'official' list of errata for Nielsen & Chuang?

Showing that Matrix Inversion is BQP-complete - HHL Algorithm

Is Connes' Embedding Problem akin the word problem for finitely presented groups?

How can the Holevo bound be used to show that $n$ qubits cannot transmit more than $n$ classical bits?

Is there a proof or example to show that a noiseless subsystem is not necessarily closed under addition?

Can classical linear algebra solvers implement quantum algorithms with similar speed-ups?

Adding a phase to qubit: why is it necessary for arbitrary single qubit gate

Can local projections increase entanglement?

Proof that any unitary can be written as $U=e^{-iH}$ with $H$ Hamiltonian with bounded norm

Example of a two-qudit state whose measurement outcomes are independent in one basis but dependent in another

How to implement linear combination of two unitary gates in a quantum circuit?

How to construct a non-trivial (non-projective) POVM measurement example?

Nielsen & Chuang Theorem 2.6 Proof

Is it possible to detect the phase $\pi$ or 0 for the single qubit circuit X H P?

N-Qubit Hadamard vs Quantum Fourier Transform

$N(\frac{1}{2},2)=3$ for vectors in a Hilbert Space

How to compute the inverse of a unitary B when it's defined only by B|0⟩=XXXX?