Compilation warning involving Eigen in mps_simulator.h

[mhucka]

Describe the issue

Compiling with make run-cxx-tests using g++ 14.2.0 on a Debian 6.12 Linux system produces a warning:

In file included from mps_simulator_test.cc:15:
../lib/mps_simulator.h: In instantiation of ‘void qsim::mps::MPSSimulator<For, FP>::ApplyGate2(const std::vector<unsigned int>&, const fp_type*, State&) const [with For = qsim::ParallelForT<1024>; FP = float; fp_type = float; State = qsim::mps::MPSStateSpace<qsim::ParallelForT<1024>, float>::MPS]’:
../lib/mps_simulator.h:73:9:   required from ‘void qsim::mps::MPSSimulator<For, FP>::ApplyGate(const std::vector<unsigned int>&, const fp_type*, State&) const [with For = qsim::ParallelForT<1024>; FP = float; fp_type = float; State = qsim::mps::MPSStateSpace<qsim::ParallelForT<1024>, float>::MPS]’
   73 |         ApplyGate2(qs, matrix, state);
      |         ^~~~~~~~~~
mps_simulator_test.cc:56:16:   required from here
   56 |   sim.ApplyGate({9}, mat.data(), state);
      |   ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
../lib/mps_simulator.h:215:16: warning: ‘Eigen::BDCSVD<MatrixType, Options>& Eigen::BDCSVD<MatrixType, Options>::compute(const MatrixType&, unsigned int) [with MatrixType_ = Eigen::Matrix<std::complex<float>, -1, -1, 1, -1, -1>; int Options_ = 0; MatrixType = Eigen::Matrix<std::complex<float>, -1, -1, 1, -1, -1>]’ is deprecated [-Wdeprecated-declarations]
  215 |     svd.compute(full_b0b1, Eigen::ComputeThinU | Eigen::ComputeThinV);
      |     ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from ../lib/../eigen/Eigen/SVD:38,
                 from ../lib/../eigen/Eigen/Dense:5,
                 from ../lib/mps_simulator.h:27:
../lib/../eigen/Eigen/src/SVD/BDCSVD.h:227:11: note: declared here
  227 |   BDCSVD& compute(const MatrixType& matrix, unsigned int computationOptions) {
      |           ^~~~~~~
gmake[1]: Leaving directory '/usr/local/google/home/mhucka/project-files/google/github/qsim/tests'

Tell us how to reproduce the issue

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Tell us the version of qsim or qsimcirq (if relevant)

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Tell us the computing environment (if relevant)

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