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#Quantum Complexity Theory

Showing: 31 courses
Simons Institute

Quantum Complexity of Clique Homology

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Explore the quantum mechanical structure in topology, connecting complexity theory to QMA hardness and examining implications for quantum algorithms and PCPs.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

Summer Cluster in Quantum Computation - Polylogues

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Explore key themes in quantum computation with experts discussing complexity theory, protocols, entanglement, algorithms, and quantum chemistry in this insightful panel discussion.
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1 Lesons
32 minutes
On-Demand
Free-Video
Illinois Quantum

Computational Complexity of Quantum Systems - From Theory to Ground State Analysis

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Delve into quantum systems' computational complexity, exploring ground states, quantum computing challenges, and algorithmic approaches for simulating quantum phenomena.
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12 Lesons
55 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Pseudoentanglement Ain't Cheap - Entropy and Non-Clifford Gates in Quantum States

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Explore groundbreaking research on pseudoentangled state ensembles, revealing how their preparation requires significant non-Clifford gates and introducing a novel algorithm for quantum entanglement entropy estimation.
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1 Lesons
23 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum Complexity Theory Meets TFNP - Product Quantum Satisfiability on Qudits

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Delve into advanced quantum complexity theory, exploring the intersection of Total Function NP and Quantum Satisfiability through innovative frameworks and theoretical breakthroughs in qudit systems.
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1 Lesons
24 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum 2-SAT on Low Dimensional Systems is QMA_1-Complete

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Delve into groundbreaking research exploring quantum satisfiability problems, examining complexity transitions in low-dimensional quantum systems and their computational implications for quantum information theory.
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1 Lesons
21 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Local Random Quantum Circuits Form Approximate Designs

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Delve into the mathematical foundations of random quantum circuits on arbitrary graphs, exploring how they form approximate unitary designs with polynomial-size circuits and bounded spectral gaps.
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1 Lesons
26 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Guidable Local Hamiltonian Problems with Implications to Heuristic Ansatz State Preparation and Quantum PCP

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Delve into advanced quantum computing theory exploring Guidable Local Hamiltonian problems, their complexity-theoretic implications, and connections to quantum PCP conjecture and state preparation methods.
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1 Lesons
21 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Oracle Separation of QMA and QCMA with Bounded Adaptivity

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Delve into quantum complexity theory through an exploration of oracle separation between QMA and QCMA, focusing on bounded adaptivity in oracle queries and the novel concept of slipperiness.
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1 Lesons
28 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Multi-product Hamiltonian Simulation with Explicit Commutator Scaling

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Delve into advanced quantum computing research exploring multi-product Hamiltonian simulation techniques, focusing on explicit commutator scaling and improved complexity analysis for practical quantum systems.
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1 Lesons
25 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Gapped Clique Homology is QMA1-Hard and Contained in QMA

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Explore the complexity of homology problems in computational topology, focusing on clique complexes and their quantum complexity classification through innovative eigenvalue analysis techniques.
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1 Lesons
24 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum Generic Hardness for Discrete Logarithms and Integer Factorization

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Explore quantum computational complexity of discrete logarithm problems and integer factorization, examining generic algorithms' limitations and establishing new theoretical bounds for quantum operations.
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1 Lesons
20 minutes
On-Demand
Free-Video
Simons Institute

QMA and the Power of Positivity

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Explore a powerful QMA variant with non-negative amplitudes, its relationship to NEXP and QMA, and implications for quantum complexity theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Institute

Quantum Summer Cluster Workshop - Anand Natarajan

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Explore quantum computing advancements with MIT researcher Anand Natarajan in this Simons Institute workshop, delving into cutting-edge developments and future implications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Simons Institute

Panel on Quantum Machine Learning and Barren Plateaus

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Expert panel explores quantum machine learning challenges, focusing on barren plateaus and their implications for algorithm design and practical quantum computing applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
IEEE

QMA-hardness of Consistency of Local Density Matrices with Applications to Quantum Zero-Knowledge

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Explore QMA-hardness of local density matrix consistency and its implications for quantum zero-knowledge proofs in this advanced quantum computing talk.
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1 Lesons
26 minutes
On-Demand
Free-Video
IEEE

Quantum Computing Advancements - Session 5A, Part 2

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Explore advanced quantum computing concepts and their applications in this IEEE conference session, delving into cutting-edge research and theoretical developments.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Making the Leap to Quantum PCPs - IPAM at UCLA

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Explore quantum PCPs, NLTS conjecture, and quantum error-correcting codes. Discover connections to quantum complexity theory and future research directions in this intuition-focused talk.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

The Quantum Games PCP - Results and Confessions

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Explore quantum complexity theory, focusing on the quantum PCP conjecture and its relation to interactive proof systems. Learn about recent developments and challenges in this cutting-edge field.
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1 Lesons
48 minutes
On-Demand
Free-Video
Simons Institute

NLTS Hamiltonians and Strongly-Explicit SoS Lower Bounds from Low-Rate Quantum LDPC Codes

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Explores breakthroughs in complexity theory using low-rate quantum LDPC codes, improving NLTS Hamiltonians and Sum-of-Squares hierarchy lower bounds with novel code construction techniques.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

Oracle Separations Between QMA and QCMA

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Explores recent non-standard oracle separations between QMA and QCMA, discussing connections to sparse Hamiltonians and potential paths towards standard oracle separation.
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1 Lesons
47 minutes
On-Demand
Free-Video
Simons Institute

Quantum Constraint Satisfaction - Richard M. Karp Distinguished Lecture

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Explore quantum Hamiltonian complexity, comparing it to classical constraint satisfaction. Learn about QMA-completeness, search-to-decision, dichotomy theorems, and coping with QMA-hardness in quantum applications.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum Policy Gradient Algorithms for Reinforcement Learning

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Delve into quantum policy gradient algorithms and their application in reinforcement learning, exploring quantum-classical speed-ups and parameterized quantum circuits for AI advancement.
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14 Lesons
23 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Sample-Optimal Quantum Process Tomography with Non-Adaptive Incoherent Measurements

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Delve into quantum process tomography theory, exploring sample complexity bounds for learning quantum channels using non-adaptive incoherent measurements and diamond norm approximations.
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10 Lesons
27 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Quantum Algorithm for Path-Edge Sampling

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Explore quantum algorithms for path-edge sampling in graphs, focusing on efficient query complexity and applications in path finding and cut finding between nodes, with practical implementations.
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12 Lesons
24 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

On the Power of Nonstandard Quantum Oracles - Complexity Theory and Oracle Models

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Delve into quantum oracle complexity theory and its impact on property testing, exploring how different oracle designs affect quantum algorithms and verification protocols in graph analysis.
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19 Lesons
23 minutes
On-Demand
Free-Video
Ryan O'Donnell

Grover's Algorithm for SAT with Approximate 'p' - Lesson 59

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Exploring Grover's Algorithm for SAT with approximate knowledge of 'p', demonstrating how near-exact estimation suffices for finding satisfying assignments efficiently in quantum computing.
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1 Lesons
14 minutes
On-Demand
Free-Video
Banach Center

Quantum Mycielski Graphs

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Explore quantum Mycielski graphs and their properties in this advanced mathematical lecture by Paweł Kasprzak from the University of Warsaw.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Institute for Advanced Study

Towards a Complexity Theory for Fully Quantum Problems

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Explore quantum complexity theory and its applications in solving fully quantum problems, focusing on cutting-edge research and potential breakthroughs in quantum computing.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Institute for Advanced Study

Quantum Algorithms

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Explore quantum algorithms with Ewin Tang, delving into cutting-edge research and applications in quantum information and physics.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Institute for Advanced Study

Shallow Quantum Circuits

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Explore the potential of shallow quantum circuits in quantum information processing, focusing on their applications and limitations in various computational tasks.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video