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Everything about Graph state
Concept in quantum computing
In quantum computing, a graph state is a special type of multi-qubit state that can be represented by a graph. Each qubit is represented by a vertex of the graph, and there is an edge between every interacting pair of qubits. In particular, they are a convenient way of representing certain types of entangled states. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Graph stateA 5-minute orientation
- Skim a recent paper: Deterministic and reconfigurable graph state generation with a single solid-state quantum emitterInfluential work since 2022
- Pick up a classic book: Introduction to Analysis on GraphsThe most-reprinted book on the subject
- Read the landmark paper: Experimental demonstration of graph-state quantum secret sharingCited 155 times
- Go sideways: Cluster stateA closely related topic
- Go sideways: One-way quantum computerA closely related topic
📖 Definitions
Noun Any of a class of multipartite entangled quantum states that can be interpreted using the mathematics of graph theory
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Experimental demonstration of graph-state quantum secret sharing
Brokered graph-state quantum computation
Graph Neural Network-Based Distribution System State Estimators
Minimal state graph generation
Open-System Dynamics of Graph-State Entanglement
State Graph Reasoning for Multimodal Conversational Recommendation
Ground State on the Dumbbell Graph
Mapping graph state orbits under local complementation
🆕 Influential since 2022
Deterministic and reconfigurable graph state generation with a single solid-state quantum emitter
Estimating the state of epidemics spreading with graph neural networks
Discrete-time dynamic graph echo state networks
Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits
Graph-theoretical optimization of fusion-based graph state generation
📚 Books worth reading
- 📕Introduction to Analysis on GraphsAlexander Grigor'yan · 2018
- 📕An application of sage analysis in determining weaknesses in a program for training secondary music teachersScott Gordon Jessop · 1980
- 📕Probability and statistical physics in St. PetersburgRussia) St. Petersburg School in Probability and Statistical Physics (2012 Saint Petersburg · 2015
- 📕Probability on algebraic and geometric structuresPhilip J. Feinsilver, Gregory Budzban · 2016
A course on large deviations with an introduction to Gibbs measuresFiras Rassoul-Agha · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Cluster state In quantum information and quantum computing, a cluster state is a type of highly entangled state of multiple qubits. Cluster states are generated in lattices…
- One-way quantum computer The one-way quantum computer, also known as measurement-based quantum computer (MBQC), is a method of quantum computing that first prepares an entangled…
- Quantum convolutional code Quantum block codes are useful in quantum computing and in quantum communications. The encoding circuit for a large block code typically has a high complexity…
- W state The W state is an entangled quantum state of three qubits which in the bra-ket notation has the following shape | W ⟩ = 1 3 ( | 001 ⟩ + | 010 ⟩ + | 100…
- Monogamy of entanglement In quantum physics, monogamy is the property of quantum entanglement that restricts entanglement from being freely shared between arbitrarily many parties…
- Concurrence (quantum computing) In quantum information science, the concurrence is a state invariant involving qubits. The concurrence is an entanglement monotone (a way of measuring…
- Separable state In quantum mechanics, separable states are multipartite quantum states that can be written as a convex combination of product states. Product states are…
- Quantum complex network Quantum complex networks are complex networks whose nodes are quantum computing devices. Quantum mechanics has been used to create secure quantum communications…