microsoft/qdk
Publicmirrored fromhttps://github.com/microsoft/qdkAvailable
library/chemistry/src/Tests.qs
399lines · modecode
| 1 | // Copyright (c) Microsoft Corporation. |
| 2 | // Licensed under the MIT License. |
| 3 | |
| 4 | import Std.Arrays.IndexRange; |
| 5 | import Std.Arrays.Mapped; |
| 6 | import Std.Arrays.Reversed; |
| 7 | import Std.Convert.ComplexAsComplexPolar; |
| 8 | import Std.Convert.IntAsDouble; |
| 9 | import Std.Diagnostics.*; |
| 10 | import Std.Math.*; |
| 11 | import Std.StatePreparation.ApproximatelyPreparePureStateCP; |
| 12 | |
| 13 | import JordanWigner.ClusterOperatorEvolutionSet.JWClusterOperatorPQRSTermSigns; |
| 14 | import JordanWigner.ClusterOperatorEvolutionSet.ComputeJWBitString; |
| 15 | import JordanWigner.ClusterOperatorEvolutionSet.ComputeJWPauliZString; |
| 16 | import JordanWigner.OptimizedBEOperator.OptimizedBEXY; |
| 17 | import JordanWigner.OptimizedBEOperator.SelectZ; |
| 18 | import JordanWigner.StatePreparation.PrepareSparseMultiConfigurationalState; |
| 19 | import JordanWigner.StatePreparation.PrepareUnitaryCoupledClusterState; |
| 20 | import JordanWigner.Data.JWInputState; |
| 21 | |
| 22 | @Config(Unrestricted) |
| 23 | @Test() |
| 24 | operation PrepareSparseMultiConfigurationalState0Test() : Unit { |
| 25 | let nQubits = 6; |
| 26 | let expectedResult = 39; |
| 27 | let excitations = [ |
| 28 | NewJordanWignerInputState(0.1, 0.0, [0, 1, 2, 5]) |
| 29 | ]; |
| 30 | |
| 31 | use qubits = Qubit[nQubits]; |
| 32 | PrepareSparseMultiConfigurationalState(qs => I(qs[0]), excitations, qubits); |
| 33 | |
| 34 | Fact(MeasureInteger(qubits) == expectedResult, "PrepareSparseMultiConfigurationalState0Test failed."); |
| 35 | } |
| 36 | |
| 37 | @Config(Unrestricted) |
| 38 | operation OptimizedBEOperatorZeroTestHelper(pauliBasis : Pauli, targetRegisterSize : Int, targetIndex : Int) : Unit { |
| 39 | let indexRegisterSize = Ceiling(Lg(IntAsDouble(targetRegisterSize))); |
| 40 | use pauliBasisQubit = Qubit(); |
| 41 | use indexRegister = Qubit[indexRegisterSize]; |
| 42 | use targetRegister = Qubit[targetRegisterSize]; |
| 43 | |
| 44 | // Choose X or Y operator. |
| 45 | if pauliBasis == PauliX { |
| 46 | // no op |
| 47 | } elif pauliBasis == PauliY { |
| 48 | X(pauliBasisQubit); |
| 49 | } |
| 50 | |
| 51 | // Create indexRegister state. |
| 52 | ApplyXorInPlace(targetIndex, indexRegister); |
| 53 | |
| 54 | // Initialize targetRegister states in |0> |
| 55 | OptimizedBEXY(pauliBasisQubit, indexRegister, targetRegister); |
| 56 | |
| 57 | for idxTest in 0..targetRegisterSize - 1 { |
| 58 | let testQubit = targetRegister[idxTest]; |
| 59 | |
| 60 | if targetIndex > idxTest { |
| 61 | |
| 62 | // Test Z Pauli |
| 63 | // |0> -> |0> |
| 64 | // |+> -> |-> |
| 65 | Message($"Test Z Pauli on qubit {idxTest}"); |
| 66 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} {idxTest} Z Pauli |0>"); |
| 67 | } elif targetIndex == idxTest { |
| 68 | |
| 69 | // Test X Pauli |
| 70 | // |0> -> |1> |
| 71 | // |+> -> |+> |
| 72 | |
| 73 | // Test Y Pauli |
| 74 | // |0> -> i|1> |
| 75 | // |+> -> -i|-> |
| 76 | Message($"Test X or Y Pauli on qubit {idxTest}"); |
| 77 | within { |
| 78 | X(testQubit); |
| 79 | } apply { |
| 80 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} X or Y Pauli |0>"); |
| 81 | } |
| 82 | } else { |
| 83 | |
| 84 | // Test Identify Pauli |
| 85 | // |0> -> |0> |
| 86 | // |+> -> |+> |
| 87 | Message($"Test ZI Pauli on qubit {idxTest}"); |
| 88 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} I Pauli |0>"); |
| 89 | } |
| 90 | } |
| 91 | |
| 92 | OptimizedBEXY(pauliBasisQubit, indexRegister, targetRegister); |
| 93 | Adjoint ApplyXorInPlace(targetIndex, indexRegister); |
| 94 | |
| 95 | // Choose X or Y operator. |
| 96 | if pauliBasis == PauliX { |
| 97 | // no op |
| 98 | } elif pauliBasis == PauliY { |
| 99 | X(pauliBasisQubit); |
| 100 | } |
| 101 | } |
| 102 | |
| 103 | @Config(Unrestricted) |
| 104 | @Test() |
| 105 | operation OptimizedBEOperatorZeroTest() : Unit { |
| 106 | let paulis = [PauliX, PauliY]; |
| 107 | let targetRegisterSize = 7; |
| 108 | |
| 109 | for idxPauli in 0..1 { |
| 110 | let pauliBasis = paulis[idxPauli]; |
| 111 | |
| 112 | for targetIndex in 0..targetRegisterSize - 1 { |
| 113 | Message($"pauliBasis {pauliBasis}; targetIndex {targetIndex}"); |
| 114 | OptimizedBEOperatorZeroTestHelper(pauliBasis, targetRegisterSize, targetIndex); |
| 115 | } |
| 116 | } |
| 117 | } |
| 118 | |
| 119 | @Config(Unrestricted) |
| 120 | operation OptimizedBEOperatorPlusTestHelper(pauliBasis : Pauli, targetRegisterSize : Int, targetIndex : Int) : Unit { |
| 121 | let indexRegisterSize = Ceiling(Lg(IntAsDouble(targetRegisterSize))); |
| 122 | use pauliBasisQubit = Qubit(); |
| 123 | use indexRegister = Qubit[indexRegisterSize]; |
| 124 | use targetRegister = Qubit[targetRegisterSize]; |
| 125 | // Choose X or Y operator. |
| 126 | if (pauliBasis == PauliX) { |
| 127 | // no op |
| 128 | } elif pauliBasis == PauliY { |
| 129 | X(pauliBasisQubit); |
| 130 | } |
| 131 | |
| 132 | // Create indexRegister state. |
| 133 | ApplyXorInPlace(targetIndex, indexRegister); |
| 134 | |
| 135 | // Initialize targetRegister states in |+> |
| 136 | ApplyToEachCA(H, targetRegister); |
| 137 | OptimizedBEXY(pauliBasisQubit, indexRegister, targetRegister); |
| 138 | for idxTest in 0..targetRegisterSize - 1 { |
| 139 | let testQubit = targetRegister[idxTest]; |
| 140 | if (targetIndex > idxTest) { |
| 141 | // Test Z Pauli |
| 142 | // |0> -> |0> |
| 143 | // |+> -> |-> |
| 144 | Message($"Test Z Pauli on qubit {idxTest}"); |
| 145 | within { |
| 146 | H(testQubit); |
| 147 | X(testQubit); |
| 148 | } apply { |
| 149 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} Z Pauli |->"); |
| 150 | } |
| 151 | } elif (targetIndex == idxTest) { |
| 152 | // Test X Pauli |
| 153 | // |0> -> |1> |
| 154 | // |+> -> |+> |
| 155 | if (pauliBasis == PauliX) { |
| 156 | Message($"Test X Pauli on qubit {idxTest}"); |
| 157 | within { |
| 158 | H(testQubit); |
| 159 | } apply { |
| 160 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} X Pauli |+>"); |
| 161 | } |
| 162 | } |
| 163 | |
| 164 | // Test Y Pauli |
| 165 | // |0> -> i|1> |
| 166 | // |+> -> -i|-> |
| 167 | if (pauliBasis == PauliY) { |
| 168 | Message($"Test Y Pauli on qubit {idxTest}"); |
| 169 | within { |
| 170 | H(testQubit); |
| 171 | X(testQubit); |
| 172 | } apply { |
| 173 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} Y Pauli |+>"); |
| 174 | } |
| 175 | } |
| 176 | |
| 177 | } else { |
| 178 | // Test Identify Pauli |
| 179 | // |0> -> |0> |
| 180 | // |+> -> |+> |
| 181 | Message($"Test I Pauli on qubit {idxTest}"); |
| 182 | within { |
| 183 | H(testQubit); |
| 184 | } apply { |
| 185 | Fact(CheckZero(testQubit), $"Error: Test {idxTest} I Pauli |+>"); |
| 186 | } |
| 187 | } |
| 188 | } |
| 189 | OptimizedBEXY(pauliBasisQubit, indexRegister, targetRegister); |
| 190 | ApplyToEachCA(H, targetRegister); |
| 191 | |
| 192 | (Adjoint ApplyXorInPlace)(targetIndex, indexRegister); |
| 193 | |
| 194 | // Choose X or Y operator. |
| 195 | if pauliBasis == PauliX { |
| 196 | // no op |
| 197 | } elif pauliBasis == PauliY { |
| 198 | X(pauliBasisQubit); |
| 199 | } |
| 200 | } |
| 201 | |
| 202 | @Config(Unrestricted) |
| 203 | @Test() |
| 204 | operation OptimizedBEOperatorPlusTest() : Unit { |
| 205 | |
| 206 | let paulis = [PauliX, PauliY]; |
| 207 | let targetRegisterSize = 7; |
| 208 | |
| 209 | for idxPauli in 0..1 { |
| 210 | let pauliBasis = paulis[idxPauli]; |
| 211 | |
| 212 | for targetIndex in 0..targetRegisterSize - 1 { |
| 213 | Message($"pauliBasis {pauliBasis}; targetIndex {targetIndex}"); |
| 214 | OptimizedBEOperatorPlusTestHelper(pauliBasis, targetRegisterSize, targetIndex); |
| 215 | } |
| 216 | } |
| 217 | } |
| 218 | |
| 219 | @Config(Unrestricted) |
| 220 | @Test() |
| 221 | operation SelectZTest() : Unit { |
| 222 | let targetRegisterSize = 7; |
| 223 | let indexRegisterSize = Ceiling(Lg(IntAsDouble(targetRegisterSize))); |
| 224 | |
| 225 | use targetRegister = Qubit[targetRegisterSize]; |
| 226 | use indexRegister = Qubit[indexRegisterSize]; |
| 227 | for idxTest in 0..targetRegisterSize - 1 { |
| 228 | H(targetRegister[idxTest]); |
| 229 | ApplyXorInPlace(idxTest, indexRegister); |
| 230 | SelectZ(indexRegister, targetRegister); |
| 231 | within { |
| 232 | H(targetRegister[idxTest]); |
| 233 | X(targetRegister[idxTest]); |
| 234 | } apply { |
| 235 | Fact(CheckZero(targetRegister[idxTest]), $"Error: Test {idxTest} X Pauli |+>"); |
| 236 | } |
| 237 | Z(targetRegister[idxTest]); |
| 238 | Adjoint ApplyXorInPlace(idxTest, indexRegister); |
| 239 | H(targetRegister[idxTest]); |
| 240 | } |
| 241 | } |
| 242 | |
| 243 | @Config(Unrestricted) |
| 244 | function JordanWignerClusterOperatorPQRSTermSignsTestHelper(idx : Int) : (Int[], Double[], Double) { |
| 245 | let cases = [ |
| 246 | ([1, 2, 3, 4], [1.0,-1.0,-1.0,-1.0, 1.0, 1.0, 1.0,-1.0], 1.0), |
| 247 | ([2, 1, 4, 3], [1.0,-1.0,-1.0,-1.0, 1.0, 1.0, 1.0,-1.0], 1.0), |
| 248 | ([3, 4, 1, 2], [1.0,-1.0,-1.0,-1.0, 1.0, 1.0, 1.0,-1.0],-1.0), |
| 249 | ([2, 1, 3, 4], [1.0,-1.0,-1.0,-1.0, 1.0, 1.0, 1.0,-1.0],-1.0), |
| 250 | ([1, 3, 2, 4], [-1.0,-1.0,-1.0, 1.0,-1.0, 1.0, 1.0, 1.0], 1.0), |
| 251 | ([4, 2, 3, 1], [-1.0,-1.0,-1.0, 1.0,-1.0, 1.0, 1.0, 1.0],-1.0), |
| 252 | ([1, 4, 2, 3], [1.0, 1.0,-1.0, 1.0,-1.0, 1.0,-1.0,-1.0], 1.0), |
| 253 | ([2, 3, 4, 1], [1.0, 1.0,-1.0, 1.0,-1.0, 1.0,-1.0,-1.0], 1.0) |
| 254 | ]; |
| 255 | return cases[idx]; |
| 256 | } |
| 257 | |
| 258 | @Config(Unrestricted) |
| 259 | @Test() |
| 260 | function JordanWignerClusterOperatorPQRSTermSignsTest() : Unit { |
| 261 | for idx in 0..7 { |
| 262 | let (testCase, expectedSigns, expectedGlobalSign) = JordanWignerClusterOperatorPQRSTermSignsTestHelper(idx); |
| 263 | let (sortedIndices, signs, globalSign) = JWClusterOperatorPQRSTermSigns(testCase); |
| 264 | |
| 265 | let p = sortedIndices[0]; |
| 266 | let q = sortedIndices[1]; |
| 267 | let r = sortedIndices[2]; |
| 268 | let s = sortedIndices[3]; |
| 269 | |
| 270 | Fact(p < q and q < r and r < s, "Expected p < q < r < s."); |
| 271 | NearEqualityFactD(globalSign, expectedGlobalSign); |
| 272 | for i in IndexRange(signs) { |
| 273 | NearEqualityFactD(signs[i], expectedSigns[i]); |
| 274 | } |
| 275 | } |
| 276 | } |
| 277 | |
| 278 | @Config(Unrestricted) |
| 279 | function DoublesToComplexPolar(input : Double[]) : ComplexPolar[] { |
| 280 | Std.Arrays.Mapped(re -> ComplexAsComplexPolar(new Complex { Real = re, Imag = 0.0 }), input) |
| 281 | } |
| 282 | |
| 283 | @Config(Unrestricted) |
| 284 | operation JordanWignerUCCTermTestHelper(nQubits : Int, excitations : Int[], term : JWInputState[], result : Double[]) : Unit { |
| 285 | use qubits = Qubit[nQubits]; |
| 286 | for idx in excitations { |
| 287 | X(qubits[idx]); |
| 288 | } |
| 289 | PrepareUnitaryCoupledClusterState(qs => I(qs[0]), term, 1.0, qubits); |
| 290 | DumpRegister(qubits); |
| 291 | Adjoint ApproximatelyPreparePureStateCP(0.0, DoublesToComplexPolar(result), Reversed(qubits)); |
| 292 | Fact(CheckAllZero(qubits), "Expected qubits to all be in ground state."); |
| 293 | ResetAll(qubits); |
| 294 | } |
| 295 | |
| 296 | @Config(Unrestricted) |
| 297 | @Test() |
| 298 | operation JordanWignerUCCSTermTest() : Unit { |
| 299 | // test using Exp(2.0 (a^\dag_1 a_3 - h.c.)) |
| 300 | let term0 = [NewJordanWignerInputState(2.0, 0.0, [1, 3])]; |
| 301 | let state0 = [0., 0.,-0.416147, 0., 0., 0., 0., 0.,-0.909297, 0., 0., 0., 0., 0., 0., 0.]; |
| 302 | JordanWignerUCCTermTestHelper(4, [1], term0, state0); |
| 303 | |
| 304 | // test using Exp(2.0 (a^\dag_3 a_1 - h.c.)) |
| 305 | let term1 = [NewJordanWignerInputState(2.0, 0.0, [3, 1])]; |
| 306 | let state1 = [0., 0.,-0.416147, 0., 0., 0., 0., 0., 0.909297, 0., 0., 0., 0., 0., 0., 0.]; |
| 307 | JordanWignerUCCTermTestHelper(4, [1], term1, state1); |
| 308 | } |
| 309 | |
| 310 | @Config(Unrestricted) |
| 311 | @Test() |
| 312 | operation JordanWignerUCCDTermPQRSTest() : Unit { |
| 313 | // test using Exp(2.0 (a^\dag_0 a^\dag_1 a_3 a_4 - h.c.)) |
| 314 | let term0 = [NewJordanWignerInputState(2.0, 0.0, [0, 1, 2, 4])]; |
| 315 | let state0 = [0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.909297, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]; |
| 316 | JordanWignerUCCTermTestHelper(5, [0, 1], term0, state0); |
| 317 | |
| 318 | // test using Exp(2.0 (a^\dag_0 a^\dag_1 a_3 a_4 - h.c.)) |
| 319 | let term1 = [NewJordanWignerInputState(2.0, 0.0, [0, 1, 2, 4])]; |
| 320 | let state1 = [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.909297, 0., 0., 0.]; |
| 321 | JordanWignerUCCTermTestHelper(5, [0, 1, 3], term1, state1); |
| 322 | |
| 323 | // test using Exp(2.0 (a^\dag_1 a^\dag_0 a_2 a_4 - h.c.)) |
| 324 | let term2 = [NewJordanWignerInputState(2.0, 0.0, [1, 0, 2, 4])]; |
| 325 | let state2 = [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.909297, 0., 0., 0.]; |
| 326 | JordanWignerUCCTermTestHelper(5, [0, 1, 3], term2, state2); |
| 327 | |
| 328 | // test using Exp(2.0 (a^\dag_1 a^\dag_0 a_2 a_4 - h.c.)) |
| 329 | let term3 = [NewJordanWignerInputState(-2.0, 0.0, [4, 2, 1, 0])]; |
| 330 | let state3 = [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.909297, 0., 0., 0.]; |
| 331 | JordanWignerUCCTermTestHelper(5, [0, 1, 3], term2, state2); |
| 332 | } |
| 333 | |
| 334 | @Config(Unrestricted) |
| 335 | // @Test() |
| 336 | operation JordanWignerUCCDTermPRQSTest() : Unit { |
| 337 | let term0 = [NewJordanWignerInputState(2.0, 0.0, [2, 0, 4, 1])]; |
| 338 | let state0 = [0., 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.909297, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]; |
| 339 | JordanWignerUCCTermTestHelper(5, [0, 2], term0, state0); |
| 340 | |
| 341 | let term1 = [NewJordanWignerInputState(2.0, 0.0, [2, 0, 4, 1])]; |
| 342 | let state1 = [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,-0.909297, 0., 0., 0., 0., 0.]; |
| 343 | JordanWignerUCCTermTestHelper(5, [0, 2, 3], term1, state1); |
| 344 | } |
| 345 | |
| 346 | @Config(Unrestricted) |
| 347 | @Test() |
| 348 | operation JordanWignerUCCDTermPRSQTest() : Unit { |
| 349 | let term3 = [NewJordanWignerInputState(2.0, 0.0, [0, 4, 2, 3])]; |
| 350 | let state3 = [0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.909297, 0., 0., 0., 0.,-0.416147, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]; |
| 351 | JordanWignerUCCTermTestHelper(5, [0, 4], term3, state3); |
| 352 | } |
| 353 | |
| 354 | @Config(Unrestricted) |
| 355 | @Test() |
| 356 | function ComputeJordanWignerBitString_0Test() : Unit { |
| 357 | let nFermions = 5; |
| 358 | let fermionIndices = [0, 3]; |
| 359 | let expectedBitString = [false, true, true, false, false]; |
| 360 | let bitString = ComputeJWBitString(nFermions, fermionIndices); |
| 361 | Fact(bitString == expectedBitString, "Bit strings not equal"); |
| 362 | } |
| 363 | |
| 364 | @Config(Unrestricted) |
| 365 | @Test() |
| 366 | function ComputeJordanWignerBitString_1Test() : Unit { |
| 367 | let nFermions = 7; |
| 368 | let fermionIndices = [0, 4, 2, 6]; |
| 369 | let expectedBitString = [false, true, false, false, false, true, false]; |
| 370 | let bitString = ComputeJWBitString(nFermions, fermionIndices); |
| 371 | Fact(bitString == expectedBitString, "Bit strings not equal"); |
| 372 | } |
| 373 | |
| 374 | @Config(Unrestricted) |
| 375 | @Test() |
| 376 | function ComputeJordanWignerPauliZString_0Test() : Unit { |
| 377 | let nFermions = 7; |
| 378 | let fermionIndices = [0, 4, 2, 6]; |
| 379 | let expectedBitString = [PauliI, PauliZ, PauliI, PauliI, PauliI, PauliZ, PauliI]; |
| 380 | let bitString = ComputeJWPauliZString(nFermions, fermionIndices); |
| 381 | Fact(bitString == expectedBitString, "Bit strings not equal"); |
| 382 | } |
| 383 | |
| 384 | |
| 385 | @Config(Unrestricted) |
| 386 | function NearEqualityFactD(actual : Double, expected : Double) : Unit { |
| 387 | let tolerance = 1e-10; |
| 388 | let delta = actual - expected; |
| 389 | if (delta > tolerance or delta < -tolerance) { |
| 390 | fail $"Values were not equal within tolerance\nActual: {actual}, Expected: {expected}, Tolerance: {tolerance}"; |
| 391 | } |
| 392 | } |
| 393 | |
| 394 | function NewJordanWignerInputState(re : Double, im : Double, indices : Int[]) : JWInputState { |
| 395 | new JWInputState { |
| 396 | Amplitude = new Complex { Real = re, Imag = im }, |
| 397 | FermionIndices = indices |
| 398 | } |
| 399 | } |
| 400 | |