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For Fixed Control Parameters the Quantum Approximate Optimization Algorithm's Objective Function Value Concentrates for Typical Instances
Fernando G. S. L. Brandao, Michael Broughton, Edward Farhi +2
The Quantum Approximate Optimization Algorithm, QAOA, uses a shallow depth quantum circuit to produce a parameter dependent state. For a given combinatorial optimization problem in…
Majorana loop stabilizer codes for error correction of fermionic quantum simulations
Zhang Jiang, Jarrod McClean, Ryan Babbush +1
Fermion-to-qubit mappings that preserve geometric locality are especially useful for simulating lattice fermion models (e.g., the Hubbard model) on a quantum computer. They avoid t…
Fluctuations of Energy-Relaxation Times in Superconducting Qubits
P. V. Klimov, J. Kelly, Z. Chen +30
Superconducting qubits are an attractive platform for quantum computing since they have demonstrated high-fidelity quantum gates and extensibility to modest system sizes. Nonethele…
Efficient population transfer via non-ergodic extended states in quantum spin glass
Kostyantyn Kechedzhi, Vadim Smelyanskiy, Jarrod R. McClean +6
We analyze a new computational role of coherent multi-qubit quantum tunneling that gives rise to bands of non-ergodic extended (NEE) quantum states each formed by a superposition o…
Quantum Simulation of Chemistry with Sublinear Scaling in Basis Size
Ryan Babbush, Dominic W. Berry, Jarrod R. McClean +1
We present a quantum algorithm for simulating quantum chemistry with gate complexity where is the number of electrons and is the number of plan…
Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization
Ryan Babbush, Dominic Berry, Hartmut Neven
We show that one can quantum simulate the dynamics of a Sachdev-Ye-Kitaev model with Majorana modes for time to precision with gate complexity $O(N^{7/2} t + N^{5/2} t…
Universal discriminative quantum neural networks
Hongxiang Chen, Leonard Wossnig, Simone Severini +2
Quantum mechanics fundamentally forbids deterministic discrimination of quantum states and processes. However, the ability to optimally distinguish various classes of quantum data…
Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
Ryan Babbush, Craig Gidney, Dominic W. Berry +5
We construct quantum circuits which exactly encode the spectra of correlated electron models up to errors from rotation synthesis. By invoking these circuits as oracles within the…
Universal Quantum Control through Deep Reinforcement Learning
Murphy Yuezhen Niu, Sergio Boixo, Vadim Smelyanskiy +1
Emerging reinforcement learning techniques using deep neural networks have shown great promise in control optimization. They harness non-local regularities of noisy control traject…
Barren plateaus in quantum neural network training landscapes
Jarrod R. McClean, Sergio Boixo, Vadim N. Smelyanskiy +2
Many experimental proposals for noisy intermediate scale quantum devices involve training a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum-cl…
Physical qubit calibration on a directed acyclic graph
Julian Kelly, Peter O'Malley, Matthew Neeley +2
High-fidelity control of qubits requires precisely tuned control parameters. Typically, these parameters are found through a series of bootstrapped calibration experiments which su…
Non-ergodic delocalized states for efficient population transfer within a narrow band of the energy landscape
Vadim N. Smelyanskiy, Konstyantyn Kechedzhi, Sergio Boixo +3
We analyze the role of coherent tunneling that gives rise to bands of delocalized quantum states providing a coherent pathway for population transfer (PT) between computational sta…
Classification with Quantum Neural Networks on Near Term Processors
Edward Farhi, Hartmut Neven
We introduce a quantum neural network, QNN, that can represent labeled data, classical or quantum, and be trained by supervised learning. The quantum circuit consists of a sequence…
Simulation of low-depth quantum circuits as complex undirected graphical models
Sergio Boixo, Sergei V. Isakov, Vadim N. Smelyanskiy +1
Near term quantum computers with a high quantity (around 50) and quality (around 0.995 fidelity for two-qubit gates) of qubits will approximately sample from certain probability di…