Quantum Simulation of the Majorana Equation and Unphysical Operations
arXiv:1102.1651 · doi:10.1103/PhysRevX.1.021018
Abstract
A quantum simulator is a device engineered to reproduce the properties of an ideal quantum model. It allows the study of quantum systems that cannot be efficiently simulated on classical computers. While a universal quantum computer is also a quantum simulator, only particular systems have been simulated up to now. Still, there is a wealth of successful cases, such as spin models, quantum chemistry, relativistic quantum physics and quantum phase transitions. Here, we show how to design a quantum simulator for the Majorana equation, a non-Hamiltonian relativistic wave equation that might describe neutrinos and other exotic particles beyond the standard model. The simulation demands the implementation of charge conjugation, an unphysical operation that opens a new front in quantum simulations, including the discrete symmetries associated with complex conjugation and time reversal. Finally, we show how to implement this general method in trapped ions.
To be published in Physical Review X
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Cited by in corpus (38)
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- Quantum simulation of a lattice Schwinger model in a chain of trapped ions
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- Quantum Simulation of Quantum Field Theories in Trapped Ions
- Digital Quantum Simulation of the Holstein Model in Trapped Ions
- Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
- Nonlinear Quantum Rabi Model in Trapped Ions
- Imaginarity-free quantum multiparameter estimation
- Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
- Tachyon physics with trapped ions
- Embedding Quantum Simulators for Quantum Computation of Entanglement
- The "Majoranon" and how to realize it in a tabletop experiment
- Optical simulation of Majorana physics
- Optical simulation of neutrino oscillations in binary waveguide arrays
- Linear-algebraic bath transformation for simulating complex open quantum systems
- Quantum simulation of neutrino oscillations with trapped ions
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- Efficient Measurement of Multiparticle Entanglement with Embedding Quantum Simulator
- Measuring Entanglement in a Photonic Embedding Quantum Simulator
- Trapped ion emulation of electric dipole moment of neutral relativistic particles
- Majorana Fermions in a Box
- Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
- Topological Qubits with Majorana Fermions in Trapped Ions
- Encoding relativistic potential dynamics into free evolution
- Quantum Simulation of a Quantum Stochastic Walk
- Quantum simulation from the bottom up: the case of rebits
- Neutrino Helicity Reversal and Fundamental Symmetries
- Optical non-Hermitian para-Fermi oscillators
- The nonrelativistic limit of the Majorana equation and its simulation in trapped ions
- Time and spatial parity operations with trapped ions
- Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
- Switchable Particle Statistics with an Embedding Quantum Simulator
- Relativistic effects for spin splitting of neutral particles: Upper bound and motional narrowing
- Engineering the unitary charge-conjugation operator of quantum field theory for particle-antiparticle using trapped ions and light fields in cavity QED
- Synthesis of Majorana mass terms in low-energy quantum systems
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