Universal gate pulse for two-qubit gates on a trapped-ion quantum computer
A method for performing at least a portion of a computational process includes computing a pulse function of a pulse to be applied to a first pair of trapped ions in a first ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the first ion chain, generating the pulse based on the computed pulse function, and applying the generated pulse to each of a second pair of trapped ions in a second ion chain to perform an entangling gate operation between the second pair of trapped ions in the second ion chain.
1 . A method for performing at least a portion of a computational process, comprising:
computing a pulse function of a pulse to be applied to a first pair of trapped ions in a first ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the first ion chain;
generating the pulse based on the computed pulse function; and
applying the generated pulse to each of a second pair of trapped ions in a second ion chain to perform an entangling gate operation between the second pair of trapped ions in the second ion chain.
2 . The method of claim 1 , wherein the number of trapped ions in the second ion chain is different from the number of trapped ions in the first ion chain.
3 . The method of claim 1 , wherein the second pair of trapped ions are the same as the first pair of trapped ions.
4 . The method of claim 1 , wherein the second pair of trapped ions are different from the first pair of trapped ions.
5 . The method of claim 1 , wherein
the computing of the pulse function is further based on stabilization conditions, and
the stabilization conditions are derived using the equi-spaced synthetic frequencies.
6 . The method of claim 1 , wherein the computing of the pulse function is further based on a gate angle condition and a power optimization condition.
7 . The method of claim 1 , wherein the pulse function is decomposed using basis functions, the computing of the pulse function comprises computing coefficients of the basis functions.
8 . An ion trap quantum computing system, comprising:
a quantum processor comprising a first ion chain comprising a plurality of trapped ions, each trapped ion having two hyperfine states and defining a qubit;
one or more lasers configured to emit a laser beam, which is provided to the plurality of trapped ions in the first ion chain;
a classical computer configured to perform operations comprising:
computing a pulse function of a pulse to be applied to a first pair of trapped ions in a second ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the second ion chain; and
generating the pulse based on the computed pulse function; and
a system controller configured to execute a control program to control the one or more lasers to perform operations on the quantum processor, the operations comprising:
applying the generated pulse to each of a second pair of trapped ions in the first ion chain to perform an entangling gate operation between the second pair of trapped ions in the first ion chain; and
measuring population of qubit states in the quantum processor,
wherein the classical computer is further configured to output the measured population of qubit states in the quantum processor.
9 . The ion trap quantum computing system of claim 8 , wherein the number of trapped ions in the second ion chain is different from the number of trapped ions in the first ion chain.
10 . The ion trap quantum computing system of claim 8 , wherein the second pair of trapped ions are the same as the first pair of trapped ions.
11 . The ion trap quantum computing system of claim 8 , wherein the second pair of trapped ions are different from the first pair of trapped ions.
12 . The ion trap quantum computing system of claim 8 , wherein
the computing of the pulse function is further based on stabilization conditions, and
the stabilization conditions are derived using the equi-spaced synthetic frequencies.
13 . The ion trap quantum computing system of claim 8 , wherein the computing of the pulse function is further based on a gate angle condition and a power optimization condition.
14 . The ion trap quantum computing system of claim 8 , wherein the pulse function is decomposed using basis functions, the computing of the pulse function comprises computing coefficients of the basis functions.
15 . An ion trap quantum computing system, comprising:
a classical computer;
a quantum processor comprising a first ion chain comprising a plurality of trapped ions, each trapped ion having two hyperfine states and defining a qubit;
a system controller configured to execute a control program to control one or more lasers to perform operations on the quantum processor; and
non-volatile memory having a number of instructions stored therein which, when executed by one or more processors, causes the ion trap quantum computing system to perform operations comprising:
computing, by the classical computer, a pulse function of a pulse to be applied to a first pair of trapped ions in a second ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the second ion chain;
generating, by the classical computer, the pulse based on the computed pulse function;
applying, by the system controller, the generated pulse to each of a second pair of trapped ions in the first ion chain to perform an entangling gate operation between the second pair of trapped ions in the first ion chain;
measuring, by the system controller, population of qubit states in the quantum processor; and
outputting, by the classical computer, the measured population of qubit states in the quantum processor.
16 . The ion trap quantum computing system of claim 15 , wherein the number of trapped ions in the second ion chain is different from the number of trapped ions in the first ion chain.
17 . The ion trap quantum computing system of claim 15 , wherein the second pair of trapped ions are the same or different from the first pair of trapped ions.
18 . The ion trap quantum computing system of claim 15 , wherein
the computing of the pulse function is further based on stabilization conditions, and
the stabilization conditions are derived using the equi-spaced synthetic frequencies.
19 . The ion trap quantum computing system of claim 15 , wherein the computing of the pulse function is further based on a gate angle condition.
20 . The ion trap quantum computing system of claim 15 , wherein the computing of the pulse function is further based on a power optimization condition.