Quantum Computing in Plato's Cave

Abstract

We show that mere observation of a quantum system can turn its dynamics from a very simple one into a universal quantum computation. This effect, which occurs if the system is regularly observed at short time intervals, can be rephrased as a modern version of Plato's Cave allegory. More precisely, while in the original version of the myth, the reality perceived within the Cave is described by the projected shadows of some more fundamental dynamics which is intrinsically more complex, we found that in the quantum world the situation changes drastically as the "projected" reality perceived through sequences of measurements can be more complex than the one that originated it. After discussing examples we go on to show that this effect is generally to be expected: almost any quantum dynamics will become universal once "observed" as outlined above. Conversely, we show that any complex quantum dynamics can be "purified" into a simpler one in larger dimensions.

References in corpus (27)

• The Quantum Internet
• Measurement-based quantum computation with cluster states
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Preparation of Entangled States by Quantum Markov Processes
• Quantum Zeno subspaces
• Quantum Zeno dynamics: mathematical and physical aspects
• Unification of Dynamical Decoupling and the Quantum Zeno Effect
• Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
• Control of decoherence: analysis and comparison of three different strategies
• Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
• Quantum Computing Using Single Photons and the Zeno Effect
• Quantum Logic Operations Using Single Photons and the Zeno Effect
• Experimental realization of quantum zeno dynamics
• Confined quantum Zeno dynamics of a watched atomic arrow
• Unified derivations of measurement-based schemes for quantum computation
• Zeno effect for quantum computation and control
• Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
• Scalable quantum computation via local control of only two qubits
• Local controllability of quantum networks
• Quantum search by measurement
• Adiabatic Markovian Dynamics
• Coherent evolution via reservoir driven holonomy
• Analysis of the quantum Zeno effect for quantum control and computation
• A photon loss tolerant Zeno CSIGN gate
• Improving the Fidelity of Optical Zeno Gates via Distillation
• Non-Abelian Phases from a Quantum Zeno Dynamics
• Optical Zeno Gate: Bounds for Fault Tolerant Operation

Cited by in corpus (38)

• Training Schrödinger's cat: quantum optimal control
• Exponentially-Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric Amplification
• Controlling open quantum systems: Tools, achievements, and limitations
• Entanglement phase transitions in measurement-only dynamics
• Quantum stochastic processes and quantum non-Markovian phenomena
• From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
• Entanglement-Enhanced Quantum Metrology in Colored Noise by Quantum Zeno Effect
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Multimode photon blockade
• Measurement-induced criticality as a data-structure transition
• Incoherent qubit control using the quantum Zeno effect
• Quantum Zeno Dynamics through stochastic protocols
• Quantum Zeno subspaces by repeated multi-spin projections
• Geometry, robustness, and emerging unitarity in dissipation-projected dynamics
• Stochastic Quantum Zeno by Large Deviation Theory
• Sequential measurements for quantum-enhanced magnetometry in spin chain probes
• Demonstration of universal control between non-interacting qubits using the Quantum Zeno effect
• Driving quantum systems with repeated conditional measurements
• Universal Control Induced by Noise
• A Perturbative Approach to Continuous-Time Quantum Error Correction
• Continuous measurements for control of superconducting quantum circuits
• On preparing ground states of gapped Hamiltonians: An efficient Quantum Lovász Local Lemma
• A Multi-Qubit Quantum Gate Using the Zeno Effect
• Hamiltonian Purification
• Emerging unitary evolutions in dissipatively coupled systems
• Grover Speedup from Many Forms of the Zeno Effect
• Generalized quantum Zeno dynamics and ergodic means
• Noise as a resource
• Kick and fix: the roots of quantum control
• A toy quantum analog of enzymes
• Theory of coherent interaction-free detection of pulses
• Motion from Measurement: The Role of Symmetry of Quantum Measurements
• Lindbladian purification
• Pinned QMA: The power of fixing a few qubits in proofs
• Tunable Tradeoff between Quantum and Classical Computation via Nonunitary Zeno-like Dynamics
• Atom- photon entanglement beyond the multi-photon resonance condition
• Higher-order Zeno sequences
• Quantum feedback for measurement and control