An ionic optical cavity coupling system and method are described. The system includes a first optical cavity, a second optical cavity, and an ion trap system including a direct current electrode pair, a grounding electrode pair, and a radio frequency electrode pair. At least one ion is arranged in the ion trap system. Furthermore, the first optical cavity is used for obtaining a quantum optical signal and sending the quantum optical signal to the ion trap system, so that quantum information of the quantum optical signal is transferred to a single ion in the ion trap system. The second optical cavity is used for obtaining quantum information in the single ion in the ion trap system.

A method of performing a computation using a quantum computer includes generating a plurality of laser pulses used to be individually applied to each of a plurality of trapped ions that are aligned in a first direction, each of the trapped ions having two frequency-separated states defining a qubit, and applying the generated plurality of laser pulses to the plurality of trapped ions to perform simultaneous pair-wise entangling gate operations on the plurality of trapped ions. Generating the plurality of laser pulses includes adjusting an amplitude value and a detuning frequency value of each of the plurality of laser pulses based on values of pair-wise entanglement interaction in the plurality of trapped ions that is to be caused by the plurality of laser pulses.

A method of performing an entangling operation between two trapped ions in a quantum computer includes selecting a gate duration value of a pulse to be applied to a first ion and a second ion in a chain of trapped ions, determining one or more tones of the pulse, each tone comprising an amplitude value and a detuning frequency value, based on the selected gate duration value and frequencies of the motional modes of the chain of trapped ions, generating the pulse having the one or more tones, each tone comprising the determined amplitude and the determined detuning frequency values, and applying the generated pulse to the first and second ions for the gate duration value. Each of the trapped ions has two frequency-separated states defining a qubit, and motional modes of the chain of trapped ions each have a distinct frequency.

A method for generating extreme ultraviolet (EUV) radiation includes introducing a fuel droplet; applying a first laser beam to strike the fuel droplet at a location to generate EUV radiation and form a movable debris of the fuel droplet; and forming an energy field proximal to the location of the first laser beam strike to trap the movable debris. An EUV radiation source includes a fuel droplet generator, a first laser, a collector and an energy field. The fuel droplet generator is configured to provide a fuel droplet. The first laser is configured to generate a first laser beam to strike the fuel droplet at a location to generate EUV radiation and form a movable debris. The collector is configured to reflect the EUV radiation. The energy field is configured to trap the movable debris, wherein the energy field is proximal to the location of the first laser beam strike.

A technique is disclosed for electro-optically inducing a force to fabricated samples and/or devices with laser light. The technique uses the interaction of the oscillating electric field of the laser beam in opposition with the electric field produced by an appropriate electric charge carrier to achieve a net repulsive (or attractive) force on the component holding the electric charge. In one embodiment, force is achieved when the field near the charge carrier is modulated at a subharmonic of the electric field oscillation frequency of the laser and the relative phases of the light field and electric charge carrier field are controlled to provide optimal repulsion/attraction. The effect is scalable by applying the technique to an array of charge carrier fields sequentially as well as using higher power lasers and higher carrier field voltages.

An ion trap system includes a laser adjustment and control module configured to split a light beam into P first light beams and Q second light beams. N first light beams in the P first light beams are transmitted to N ions, respectively, and tM second light beams in the Q second light beams are transmitted to M monitoring units, respectively. The M monitoring units are configured to monitor the M second light beams, respectively, and obtain spatial information of the M second light beams. The system further includes a feedback control module configured to receive the spatial intensity distribution information of the M second light beams, determine N first control signals based on the spatial information of the M second light beams, and transmit the N first control signals to the laser adjustment and control module.

The disclosure describes various aspects of a cryogenic trapped-ion system. In an aspect, a method is described that includes bringing a chain of ions in a trap at a cryogenic temperature, the trap being a micro-fabricated trap, and performing quantum computations, simulations, or both using the chain of ions in the trap at the cryogenic temperature. In another aspect, a method is described that includes establishing a zig-zag ion chain in the cryogenic trapped-ion system, detecting a change in a configuration of the zig-zag ion chain, and determining a measurement of the pressure based on the detection in the change in configuration. In another aspect, a method is described that includes measuring a low frequency vibration, generating a control signal based on the measurement to adjust one or more optical components, and controlling the one or more optical components using the control signal.

Aspects of the present disclosure may include a method and/or a system for identifying an ion chain having a plurality of trapped ions, selecting at least two non-consecutive trapped ions in the ion chain for implementing a qubit, applying at least a first Raman beam to shuttle at least one neighbor ion of the at least two non-consecutive trapped ions from a ground state to a metastable state, and applying at least a second Raman beam to one or more of the at least two non-consecutive trapped ions, after shuttling the at least one neighbor ion to the metastable state, to transition from a first manifold to a second manifold.

Aspects of the present disclosure may include a method and/or a system for identifying an ion chain having a plurality of trapped ions, selecting at least two non-consecutive trapped ions in the ion chain for implementing a qubit, applying at least a first Raman beam to shuttle at least one neighbor ion of the at least two non-consecutive trapped ions from a ground state to a metastable state, and applying at least a second Raman beam to one or more of the at least two non-consecutive trapped ions, after shuttling the at least one neighbor ion to the metastable state, to transition from a first manifold to a second manifold.

An ionic optical cavity coupling system and method are described. The system includes a first optical cavity, a second optical cavity, and an ion trap system including a direct current electrode pair, a grounding electrode pair, and a radio frequency electrode pair. At least one ion is arranged in the ion trap system. Furthermore, the first optical cavity is used for obtaining a quantum optical signal and sending the quantum optical signal to the ion trap system, so that quantum information of the quantum optical signal is transferred to a single ion in the ion trap system. The second optical cavity is used for obtaining quantum information in the single ion in the ion trap system.