Coherent de-excitation of atomic object crystal motional modes to facilitate transport in a trapped-ion quantum computer
Quantum computers, systems, apparatuses, and/or the like and corresponding methods for de-exciting coherent motional modes of an atomic object crystal confined by an atomic object confinement apparatus. One or more voltage sources are controlled to cause a waveform to be applied to an array of electrodes of the atomic object confinement apparatus. Application of the waveform to the array of electrodes causes each of the one or more transport operations to be performed on the respective atomic object crystal and causes de-excitation of at least one coherent motional mode of the respective atomic object crystal corresponding to the at least one of the one or more transport operations. The respective shim waveform configured to de-excite the at least one coherent motional mode may be determined based on a parameterized shim waveform and a calibration process for determining parameters corresponding to the atomic object confinement apparatus.
1 . A method for using coherent mode de-excitation during a transport operation of an atomic object crystal confined by an atomic object confinement apparatus, the method comprising:
identifying one or more transport operations to be performed at least partially in parallel, each transport operation of the one or more transport operations corresponding to moving a respective atomic object crystal from a respective start location to a respective destination location, the start location and destination location being locations within the atomic object confinement apparatus;
determining respective shim waveforms for at least one of the one or more transport operations;
determining respective transport waveforms for each transport operation;
determining an applied waveform based on an aggregation of the respective shim waveforms and the respective transport waveforms; and
controlling one or more voltage sources to cause waveform voltage signals in accordance with the applied waveform to be applied to electrodes of an array of electrodes of the atomic object confinement apparatus,
wherein application of the applied waveform to the array of electrodes causes each of the one or more transport operations to be performed on the respective atomic object crystal and causes de-excitation of at least one coherent motional mode of the respective atomic object crystal corresponding to the at least one of the one or more transport operations.
2 . The method of claim 1 , wherein the respective shim waveforms are an aggregation of two or more particular-mode shim waveforms, each of the two or more particular-mode shim waveforms corresponding to a different coherent motional mode of the respective atomic object crystal.
3 . The method of claim 1 , wherein the respective shim waveforms are an aggregation of at least (a) a first particular-mode shim waveform corresponding to a first coherent motional mode of the respective atomic object crystal and (b) a second particular-mode shim waveform corresponding toa second coherent motional mode of the respective atomic object crystal, the first coherent motional mode is characterized by a first motional frequency and the second coherent motional mode is characterized by a second motional frequency, the first motional frequency and the second motional frequency are different.
4 . The method of claim 3 , wherein the first coherent motional mode is a center-of-mass mode and the second coherent motional mode is a stretch mode.
5 . The method of claim 1 , wherein the applied waveform comprises a series of voltages to be applied to the array of electrodes of the atomic object confinement apparatus to cause the one or more transport operations to be performed and to cause a gradient in an electric potential at a first location of the atomic object confinement apparatus where the respective atomic object crystal corresponding to the at least one of the one or more transport operations is located in the atomic object confinement apparatus.
6 . The method of claim 5 , wherein the first location follows the atomic object crystal from the respective start location to the respective destination location of the at least one of the one or more transport operations.
7 . The method of claim 5 , wherein the at least one of the one or more transport operations comprises at least a first transport operation and a second transport operation, the first transport operation comprises moving a first electric potential well within which a first atomic object crystal is located from a first start location to a first destination location and the second transport operation comprises moving a second potential well within which a second atomic object crystal is located from a second start location to a second destination location, and the applied waveform comprises (a) at least one particular-mode shim waveform configured to cause a first gradient in the electric potential co-located with the first electric potential well as the first electric potential well moves from the first start location to the first destination location and (b) at least one particular-mode shim waveform configured to cause a second gradient in the electric potential co-located with the second potential well as the second potential well moves from the second start location to the second destination location.
8 . The method of claim 7 , wherein the first gradient is substantially zero at the location of the second atomic object crystal and the second gradient is substantially zero at the location of the first atomic object crystal.
9 . The method of claim 7 , wherein the first electric potential well defines a first axial frequency, the second potential well defines a second axial frequency, and the first axial frequency and the second axial frequency are spaced apart by 0.05 to 5 MHz.
10 . The method of claim 1 , wherein the respective particular-mode shim waveforms are each associated with or parameterized by a respective axial frequency corresponding to at least one of (a) the transport operation or (b) an electric potential well at a location of the atomic object confinement apparatus where the respective atomic object crystal is located.
11 . The method of claim 1 , wherein the respective particular mode shim waveforms are each parameterized by a respective motional mode frequency, a respective motional mode amplitude, and a respective phase.
12 . An apparatus comprising at least one processor and memory storing computer-executable instructions, the computer-executable instructions are configured to, when executed by the at least one processor, cause the apparatus to at least:
identify one or more transport operations to be performed at least partially in parallel, wherein each transport operation of the one or more transport operations corresponds to moving a respective atomic object crystal from a respective start location to a respective destination location, the start location and destination location being locations within an atomic object confinement apparatus;
determine respective shim waveforms for at least one of the one or more transport operations;
determine respective transport waveforms for each transport operation;
determine an applied waveform based on an aggregation of the respective shim waveforms and the respective transport waveforms; and
control one or more voltage sources to cause waveform voltage signals in accordance with the applied waveform to be applied to electrodes of an array of electrodes of the atomic object confinement apparatus, wherein application of the applied waveform to the array of electrodes causes each of the one or more transport operations to be performed on the respective atomic object crystal and causes de-excitation of at least one coherent motional mode of the respective atomic object crystal corresponding to the at least one of the one or more transport operations.
13 . The apparatus of claim 12 , wherein the respective shim waveforms are an aggregation of two or more particular-mode shim waveforms, each of the two or more particular-mode shim waveforms corresponding to a different coherent motional mode of the respective atomic object crystal.
14 . The apparatus of claim 12 , wherein the respective shim waveforms are an aggregation of at least (a) a first particular-mode shim waveform corresponding to a first coherent motional mode of the respective atomic object crystal and (b) a second particular-mode shim waveform corresponding to a second coherent motional mode of the respective atomic object crystal, the first coherent motional mode is characterized by a first motional frequency and the second coherent motional mode is characterized by a second motional frequency, the first motional frequency and the second motional frequency are different.
15 . The apparatus of claim 12 , wherein the applied waveform comprises a series of voltages to be applied to the array of electrodes of the atomic object confinement apparatus to cause the one or more transport operations to be performed and to cause a gradient in an electric potential at a first location of the atomic object confinement apparatus where the respective atomic object crystal corresponding to the at least one of the one or more transport operations is located in the atomic object confinement apparatus.
16 . The apparatus of claim 15 , wherein the first location follows the atomic object crystal from the respective start location to the respective destination location of the at least one of the one or more transport operations.
17 . The apparatus of claim 15 , wherein the at least one of the one or more transport operations comprises at least a first transport operation and a second transport operation, the first transport operation comprises moving a first electric potential well within which a first atomic object crystal is located from a first start location to a first destination location and the second transport operation comprises moving a second potential well within which a second atomic object crystal is located from a second start location to a second destination location, and the applied waveform comprises (a) at least one particular-mode shim waveform configured to cause a first gradient in the electric potential co-located with the first electric potential well as the first electric potential well moves from the first start location to the first destination location and (b) at least one particular-mode shim waveform configured to cause a second gradient in the electric potential co-located with the second potential well as the second potential well moves from the second start location to the second destination location.
18 . The apparatus of claim 12 , wherein the respective particular-mode shim waveforms are each associated with or parameterized by a respective axial frequency corresponding to at least one of (a) the transport operation or (b) an electric potential well at a location of the atomic object confinement apparatus where the respective atomic object crystal is located.
19 . The apparatus of claim 12 , wherein the respective particular mode shim waveforms are each parameterized by a respective motional mode frequency, a respective motional mode amplitude, and a respective phase.
20 . A system comprising:
an atomic object confinement apparatus configured to confine one or more atomic object crystals therein;
one or more voltage sources; and
a controller, the controller comprises at least one processor and memory storing computer-executable instructions, the computer-executable instructions are configured to, when executed by the at least one processor, cause the controller to at least:
identify one or more transport operations to be performed at least partially in parallel, wherein each transport operation of the one or more transport operations corresponds to moving a respective atomic object crystal from a respective start location to a respective destination location, the start location and destination location being locations within the atomic object confinement apparatus;
determine respective shim waveforms for at least one of the one or more transport operations;
determine respective transport waveforms for each transport operation;
determine an applied waveform based on an aggregation of the respective shim waveforms and the respective transport waveforms; and
control operation of the one or more voltage sources to cause waveform voltage signals in accordance with the applied waveform to be applied to electrodes of an array of electrodes of the atomic object confinement apparatus, wherein application of the applied waveform to the array of electrodes causes each of the one or more transport operations to be performed on the respective atomic object crystal and causes de-excitation of at least one coherent motional mode of the respective atomic object crystal corresponding to the at least one of the one or more transport operations.