No, your spouse is never your dependent. Your options are Married Filing Jointly (MFJ) or Married Filing Separately (MFS). If you file separately and if you live in a community property state, there are rules about allocating income that you must adhere to.
You get more room for tax breaks when you file MFJ and lower tax rates.
For additional information, review the TurboTax article Should You and Your Spouse File Jointly or Separately?