Tag: complexity-theory

43 Is it possible for an encryption method to exist which is impossible to crack, even using quantum computers? 2018-03-12T17:12:07.927

32 How is the oracle in Grover's search algorithm implemented? 2018-03-17T02:26:32.157

30 Is there any general statement about what kinds of problems can be solved more efficiently using a quantum computer? 2018-04-04T06:17:09.467

29 Are there problems in which quantum computers are known to provide an exponential advantage? 2018-03-15T13:58:19.720

29 Is there a layman's explanation for why Grover's algorithm works? 2018-03-28T12:22:51.887

27 Why is a quantum computer in some ways more powerful than a nondeterministic Turing machine? 2018-03-27T20:34:12.867

19 What does Google's claim of "Quantum Supremacy" mean for the question of BQP vs BPP vs NP? 2019-10-23T15:48:21.673

17 What is postselection in quantum computing? 2018-03-13T10:12:45.070

16 Are there results from quantum algorithms or complexity that lead to advances on the P vs NP problem? 2018-04-27T10:01:11.743

16 What are examples of Hamiltonian simulation problems that are BQP-complete? 2018-05-17T03:52:58.673

16 Is there a list of accessible open problems in quantum computing from a theoretical computer science perspective? 2019-03-28T20:38:01.587

15 What is the current state of the art in quantum sorting algorithms? 2018-03-23T10:28:15.810

12 Grover's Algorithm and its relation to complexity classes? 2018-05-27T15:35:53.370

11 Are there any encryption suites which can be cracked by classical computers but not quantum computers? 2018-03-15T15:12:04.687

11 What can we learn from 'quantum bogosort'? 2018-03-22T14:26:11.617

11 Is there any general statement about what kinds of problems can be approximated more efficiently using a quantum computer? 2018-04-05T01:34:23.260

11 How many operations can a quantum computer perform per second? 2018-06-20T09:32:50.140

11 Separating NP from BQP relative to an oracle 2019-07-04T05:34:34.380

10 Good introductory material on quantum computational complexity classes 2018-04-11T11:02:45.863

10 Quantum Walk: Why the need of adding "tail" nodes to the root? 2018-06-14T12:54:01.257

10 Quantum Algorithm for God's Number 2018-08-07T06:46:53.363

9 Is BQP only about time? Is this meaningful? 2018-04-18T11:22:54.807

9 Why doesn't Deutsch-Jozsa Algorithm show that P ≠ BQP? 2019-01-17T11:54:03.160

9 Resources to study quantum algorithms and quantum complexity 2019-12-02T17:18:03.280

9 Why are non-Clifford gates more complex than Clifford gates? 2020-01-31T11:11:01.810

8 Can the analysis or design of quantum algorithms benefit from parameterised algorithmics? 2018-04-05T13:04:02.313

8 What is the actual power of Quantum Phase Estimation? 2018-06-13T08:57:25.770

8 Relation between quantum entanglement and quantum state complexity 2018-10-29T15:02:53.143

8 Quantum algorithms for problems outside NP 2018-12-05T22:41:17.457

8 What is recursive Fourier sampling and how does it prove separations between BQP and NP in the black-box model? 2019-01-14T21:41:44.503

8 Why is quantum Fourier transform required in Shor's algorithm? 2019-02-07T04:42:52.393

8 Consequences of $MIP^\ast=RE$ Regarding Quantum Algorithms 2020-08-16T16:30:01.993

8 Is HHL still BQP-complete when the matrix entries are only in {0,1}? 2020-08-20T00:26:40.450

7 Empirical Algorithmics for Near-Term Quantum Computing 2018-04-05T17:11:12.980

7 Consequences of SAT ∈ BQP 2018-04-10T13:33:34.807

7 Query regarding BQP belonging to PP 2018-07-21T19:20:13.640

7 Does the GLOA have any advantage over the Solovay-Kitaev algorithm? 2018-10-21T12:08:17.897

7 What is the complexity of the quantum phase estimation in Grover's algorithm? 2019-02-06T23:34:23.273

7 Will quantum computers be able to solve the game of chess? 2019-04-01T04:13:40.190

7 Is there a BQP algorithm for each level of the polynomial hierarchy PH? 2019-04-03T14:36:44.693

7 Better "In-Place" Amplification of QMA 2019-10-27T22:47:51.423

7 What are the thermodynamic limits of Shor's algorithm 2020-05-27T03:18:58.150

7 Could random quantum circuits be efficiently approximately simulated? 2020-10-27T10:29:52.087

7 What kind of boolean functions are faster to compute on qc? 2020-12-23T01:38:42.163

7 Why does QAOA achieve quantum supremacy in an algorithmic sense? 2021-02-08T18:51:55.030

6 Quantum Algorithm SAT structure 2018-04-10T16:34:37.553

6 Upper Bounds for QMA Quantum Merlin Arthur, and QMA(k) 2018-04-21T09:14:33.290

6 What classical public key cryptography protocols exist for which hacking is QMA complete or QMA hard? 2018-06-29T04:59:42.687

6 Relation between $\mathrm{QMA}$ and $\mathrm{P^{QMA}}$ 2018-10-08T22:03:19.037

6 Can we use quantum machines to reduce space complexity of deterministic turing machines? 2018-10-21T18:14:21.777

6 Clarification needed: "Simulation" of $e^{-iHt}$ and its time complexity 2018-11-04T10:21:58.303

6 Classical complexity for Simon's problem 2018-12-24T17:40:54.827

6 How to construct a quantum circuit (QIP system) for the graph non-isomorphism problem? 2019-01-23T11:58:33.063

6 Is quantum computer equivalent to Turing machine with matrix multiplication oracle? 2019-02-11T09:52:36.743

6 Strong vs weak simulations and the polynomial hierarchy collapse 2019-08-22T03:36:26.743

6 Is quantum complexity basis-invariant? 2019-10-22T14:34:42.300

6 Self reducibility of QCMA problems 2019-12-03T07:30:07.153

6 State of the art of SAT on a quantum computer 2020-06-21T11:26:26.480

6 What is stopping FACTORING from being BQP-complete? 2021-01-02T16:31:59.583

6 Are almost-Clifford circuits almost easy to simulate? 2021-01-04T21:42:02.203

6 What is the computational complexity of quantum annealing? 2021-01-28T17:26:37.533

5 How to compare a quantum algorithm with its classical version? 2018-04-01T12:38:55.040

5 Is PostBQP experimentally relevant? 2018-05-27T06:20:31.160

5 Good metaphors for n-level quantum systems 2018-08-01T22:36:07.587

5 Query lower bound for Majority function using the quantum adversary method 2019-01-17T12:01:06.917

5 Quantum proof for the group non-membership problem 2019-01-23T12:24:28.613

5 Best query and memory complexity for iterated function 2019-05-31T01:19:36.637

5 Can we amplify BPP algorithms with a random quantum circuit? 2019-06-26T12:46:10.790

5 Showing that Matrix Inversion is BQP-complete - HHL Algorithm 2019-06-26T22:54:49.563

5 complexity of classical counting algorithm 2019-07-20T17:40:52.143

5 Are there many practical problems for which Grover's algorithm beats the best heuristic classical algorithm? 2019-08-09T02:28:07.680

5 Simulating depth-2 circuits 2019-08-19T08:20:55.373

5 Quantum algorithms for Prolog or automated theorem proving? 2019-10-06T12:24:42.203

5 Marriott-Watrous style amplification with a quantum input 2019-11-11T03:35:21.167

5 How powerful would quantum computers be if we had direct access to the full state vector? 2019-12-20T20:16:31.330

5 Is Connes' Embedding Problem akin the word problem for finitely presented groups? 2020-02-07T21:33:44.053

5 Equivalence checking of quantum circuits up to error 2020-07-16T08:08:39.267

5 Proof using hybrid method that inverting a permutation requires exponential queries for BQP machines 2020-09-22T08:13:59.373

5 List of problems in the query complexity model with no super-polynomial quantum speedup 2021-02-08T15:29:40.900

4 Why is there no $N$ in the time complexity of the QLSP algorithm by Childs et al.? 2018-10-24T18:37:59.933

4 Has any research been done on quantum Zeno machines? 2018-11-29T04:03:01.417

4 What's the notion of input size for Quantum Verification? 2018-12-04T01:22:12.107

4 Intuitive Proof: BQP ⊆ PP 2019-01-15T20:34:03.397

4 Complexity analysis of separability in the multipartite case 2019-05-04T22:34:49.467

4 References on quantum arithmetic circuit complexity 2019-05-13T08:59:11.937

4 CTCs and information time travel — what non-trivial insights do they lead to? 2019-05-19T10:53:28.460

4 Quantum State Sanitizing 2019-07-04T09:14:06.653

4 How exactly is solving the random circuit sampling problem a computation in the Church-Turing thesis sense? 2019-10-30T21:11:28.810

4 Simpler implementation of the Toffoli gate on IBM Q for special circumstances 2020-02-12T10:41:49.690

4 Is either the adiabatic or the diabatic version of quantum annealing known to be theoretically more powerful than the other? 2020-06-20T21:08:14.970

4 How do I check if a gate represented by Unitary $U$ is a Clifford Gate? 2020-08-03T17:14:36.190

4 Proof that any unitary can be written as $U=e^{-iH}$ with $H$ Hamiltonian with bounded norm 2020-09-28T04:09:27.170

4 What is the relationship between quantum circuit and quantum query complexities? 2020-09-28T20:48:29.530

4 Bound on quantum speedups under various models of complexity 2020-10-21T19:23:51.687

4 Complexity of controlled operations in a two-level unitary operation 2020-12-10T22:27:08.673

4 CS conjecture that Quantum Computer cannot solve NP-complete problems, but Boson Samplers do a #P-hard problem. How is it? 2021-01-21T02:04:07.580

4 Properties of QAOA 2021-02-07T20:36:52.473

3 Does strong error reduction for PostQMA exist? 2019-01-28T15:51:39.587

3 Grover's algorithm and Battleship solution 2019-03-09T08:46:05.703