Scientists / Open questions

John Preskill

Quantum information; quantum computing

13 questions

Extending linear quantum complexity growth to qubit local circuits and fixed time-independent Hamiltonians
Topological entanglement entropy: rigorous control of finite-size corrections, the entanglement-Hamiltonian (CFT) derivation, microscopic realizations of non-Abelian anyon theories, and higher-dimensional extensions
Confinement-Higgs transition in the random-plaquette Z2 gauge model: Nishimori-line accuracy threshold, anisotropic (p,q) boundary, and the reentrant-versus-vertical phase-boundary question for topological quantum memory
Operators, continuum limits, and gravitational dynamics of quantum-mechanical hair in local discrete gauge theories: the open questions of Preskill and Krauss (1990)
Rigorous accuracy thresholds for fault-tolerant quantum computation against biased noise under realistic (Hamiltonian/coherent) noise, including idle errors and improved bounds
Gauge-invariant, non-perturbative determination of the unbroken gauge symmetry and stable string spectrum in non-Abelian gauge-Higgs systems
Realizing the robust encoding of a qubit in a molecule: realistic noise, quantitative performance, and physical implementation of molecular-rotor quantum error-correcting codes
Reversible quantum networks for asymptotically fast multiplication in Shor's factoring algorithm: construction, scratch space, and crossover
Scalable robustness and asymptotic performance of adiabatic quantum computation: minimum-gap scaling, large-n noise resilience, and interpolation-path design
Domain of validity of the generalized second law and the fate of information in the Russo–Susskind–Thorlacius two-dimensional black hole
Mirror-fermion decoupling and the nonperturbative lattice construction of chiral gauge theories (the Eichten–Preskill open questions)
Security of multiparty quantum protocols under general superselection rules beyond compact symmetry groups
Fault-tolerance thresholds for long-range correlated non-Markovian Hamiltonian noise: realistic fault-path phases, spatial layout, tailored gadgets, and the marginal decay regime $z\le D$

Back to open problems

Extending linear quantum complexity growth to qubit local circuits and fixed time-independent Hamiltonians

Topological entanglement entropy: rigorous control of finite-size corrections, the entanglement-Hamiltonian (CFT) derivation, microscopic realizations of non-Abelian anyon theories, and higher-dimensional extensions

Confinement-Higgs transition in the random-plaquette Z2 gauge model: Nishimori-line accuracy threshold, anisotropic (p,q) boundary, and the reentrant-versus-vertical phase-boundary question for topological quantum memory

Operators, continuum limits, and gravitational dynamics of quantum-mechanical hair in local discrete gauge theories: the open questions of Preskill and Krauss (1990)

Rigorous accuracy thresholds for fault-tolerant quantum computation against biased noise under realistic (Hamiltonian/coherent) noise, including idle errors and improved bounds

Gauge-invariant, non-perturbative determination of the unbroken gauge symmetry and stable string spectrum in non-Abelian gauge-Higgs systems

Realizing the robust encoding of a qubit in a molecule: realistic noise, quantitative performance, and physical implementation of molecular-rotor quantum error-correcting codes

Reversible quantum networks for asymptotically fast multiplication in Shor's factoring algorithm: construction, scratch space, and crossover

Scalable robustness and asymptotic performance of adiabatic quantum computation: minimum-gap scaling, large-n noise resilience, and interpolation-path design

Domain of validity of the generalized second law and the fate of information in the Russo–Susskind–Thorlacius two-dimensional black hole

Mirror-fermion decoupling and the nonperturbative lattice construction of chiral gauge theories (the Eichten–Preskill open questions)

Security of multiparty quantum protocols under general superselection rules beyond compact symmetry groups

Fault-tolerance thresholds for long-range correlated non-Markovian Hamiltonian noise: realistic fault-path phases, spatial layout, tailored gadgets, and the marginal decay regime z≤Dz\le Dz≤D

Fault-tolerance thresholds for long-range correlated non-Markovian Hamiltonian noise: realistic fault-path phases, spatial layout, tailored gadgets, and the marginal decay regime $z\le D$